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Finding the Fourth Proportional to 214.86, 296.19 and 149.16

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Solution

The fourth proportional to 214.86, 296.19 and 149.16 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.86 : 296.19 = 149.16 : x
  2. Step 2: Convert to fraction form
    214.86/296.19 = 149.16/x
  3. Step 3: Cross multiply
    214.86x = 296.19 × 149.16
  4. Step 4: Simplify right side
    214.86x = 44,179.70
  5. Step 5: Solve for x
    x = 44,179.70/214.86
  6. Step 6: Final answer
    x = 205.62

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Why These Related Problems?

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