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Finding the Fourth Proportional to 214.92, 322.12 and 86.52

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Solution

The fourth proportional to 214.92, 322.12 and 86.52 is: 129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 322.12 = 86.52 : x
  2. Step 2: Convert to fraction form
    214.92/322.12 = 86.52/x
  3. Step 3: Cross multiply
    214.92x = 322.12 × 86.52
  4. Step 4: Simplify right side
    214.92x = 27,869.82
  5. Step 5: Solve for x
    x = 27,869.82/214.92
  6. Step 6: Final answer
    x = 129.68

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