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Finding the Fourth Proportional to 214.71, 322.10 and 92.97

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Solution

The fourth proportional to 214.71, 322.10 and 92.97 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 322.10 = 92.97 : x
  2. Step 2: Convert to fraction form
    214.71/322.10 = 92.97/x
  3. Step 3: Cross multiply
    214.71x = 322.10 × 92.97
  4. Step 4: Simplify right side
    214.71x = 29,945.17
  5. Step 5: Solve for x
    x = 29,945.17/214.71
  6. Step 6: Final answer
    x = 139.47

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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.