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Finding the Fourth Proportional to 214.91, 296.76 and 159.90

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Solution

The fourth proportional to 214.91, 296.76 and 159.90 is: 220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 296.76 = 159.90 : x
  2. Step 2: Convert to fraction form
    214.91/296.76 = 159.90/x
  3. Step 3: Cross multiply
    214.91x = 296.76 × 159.90
  4. Step 4: Simplify right side
    214.91x = 47,450.61
  5. Step 5: Solve for x
    x = 47,450.61/214.91
  6. Step 6: Final answer
    x = 220.79

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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.