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Finding the Fourth Proportional to 214.73, 322.16 and 93.02

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Solution

The fourth proportional to 214.73, 322.16 and 93.02 is: 139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.73 : 322.16 = 93.02 : x
  2. Step 2: Convert to fraction form
    214.73/322.16 = 93.02/x
  3. Step 3: Cross multiply
    214.73x = 322.16 × 93.02
  4. Step 4: Simplify right side
    214.73x = 29,965.77
  5. Step 5: Solve for x
    x = 29,965.77/214.73
  6. Step 6: Final answer
    x = 139.55

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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.