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Finding the Fourth Proportional to 214.61, 296.12 and 149.20

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Solution

The fourth proportional to 214.61, 296.12 and 149.20 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 296.12 = 149.20 : x
  2. Step 2: Convert to fraction form
    214.61/296.12 = 149.20/x
  3. Step 3: Cross multiply
    214.61x = 296.12 × 149.20
  4. Step 4: Simplify right side
    214.61x = 44,180.74
  5. Step 5: Solve for x
    x = 44,180.74/214.61
  6. Step 6: Final answer
    x = 205.87

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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.