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Finding the Fourth Proportional to 640.03, 960.04 and 177.82

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Solution

The fourth proportional to 640.03, 960.04 and 177.82 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.03 : 960.04 = 177.82 : x
  2. Step 2: Convert to fraction form
    640.03/960.04 = 177.82/x
  3. Step 3: Cross multiply
    640.03x = 960.04 × 177.82
  4. Step 4: Simplify right side
    640.03x = 170,709.51
  5. Step 5: Solve for x
    x = 170,709.51/640.03
  6. Step 6: Final answer
    x = 266.72

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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.