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Finding the Fourth Proportional to 431.71, 647.42 and 188.17

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Solution

The fourth proportional to 431.71, 647.42 and 188.17 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.71 : 647.42 = 188.17 : x
  2. Step 2: Convert to fraction form
    431.71/647.42 = 188.17/x
  3. Step 3: Cross multiply
    431.71x = 647.42 × 188.17
  4. Step 4: Simplify right side
    431.71x = 121,822.46
  5. Step 5: Solve for x
    x = 121,822.46/431.71
  6. Step 6: Final answer
    x = 282.19

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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.