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Finding the Fourth Proportional to 214.52, 296.07 and 149.12

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Solution

The fourth proportional to 214.52, 296.07 and 149.12 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 296.07 = 149.12 : x
  2. Step 2: Convert to fraction form
    214.52/296.07 = 149.12/x
  3. Step 3: Cross multiply
    214.52x = 296.07 × 149.12
  4. Step 4: Simplify right side
    214.52x = 44,149.96
  5. Step 5: Solve for x
    x = 44,149.96/214.52
  6. Step 6: Final answer
    x = 205.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.