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Finding the Fourth Proportional to 640.49, 960.75 and 178.31

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Solution

The fourth proportional to 640.49, 960.75 and 178.31 is: 267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.49 : 960.75 = 178.31 : x
  2. Step 2: Convert to fraction form
    640.49/960.75 = 178.31/x
  3. Step 3: Cross multiply
    640.49x = 960.75 × 178.31
  4. Step 4: Simplify right side
    640.49x = 171,313.73
  5. Step 5: Solve for x
    x = 171,313.73/640.49
  6. Step 6: Final answer
    x = 267.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.