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Finding the Fourth Proportional to 214.50, 296.13 and 149.09

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Solution

The fourth proportional to 214.50, 296.13 and 149.09 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 296.13 = 149.09 : x
  2. Step 2: Convert to fraction form
    214.50/296.13 = 149.09/x
  3. Step 3: Cross multiply
    214.50x = 296.13 × 149.09
  4. Step 4: Simplify right side
    214.50x = 44,150.35
  5. Step 5: Solve for x
    x = 44,150.35/214.50
  6. Step 6: Final answer
    x = 205.83

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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.