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Finding the Fourth Proportional to 151.56, 208.96 and 116.53

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Solution

The fourth proportional to 151.56, 208.96 and 116.53 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 208.96 = 116.53 : x
  2. Step 2: Convert to fraction form
    151.56/208.96 = 116.53/x
  3. Step 3: Cross multiply
    151.56x = 208.96 × 116.53
  4. Step 4: Simplify right side
    151.56x = 24,349.30
  5. Step 5: Solve for x
    x = 24,349.30/151.56
  6. Step 6: Final answer
    x = 160.66

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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.