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Finding the Fourth Proportional to 642.39, 963.64 and 180.17

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Solution

The fourth proportional to 642.39, 963.64 and 180.17 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.39 : 963.64 = 180.17 : x
  2. Step 2: Convert to fraction form
    642.39/963.64 = 180.17/x
  3. Step 3: Cross multiply
    642.39x = 963.64 × 180.17
  4. Step 4: Simplify right side
    642.39x = 173,618.12
  5. Step 5: Solve for x
    x = 173,618.12/642.39
  6. Step 6: Final answer
    x = 270.27

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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.