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Finding the Fourth Proportional to 151.89, 209.70 and 114.90

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Solution

The fourth proportional to 151.89, 209.70 and 114.90 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.89 : 209.70 = 114.90 : x
  2. Step 2: Convert to fraction form
    151.89/209.70 = 114.90/x
  3. Step 3: Cross multiply
    151.89x = 209.70 × 114.90
  4. Step 4: Simplify right side
    151.89x = 24,094.53
  5. Step 5: Solve for x
    x = 24,094.53/151.89
  6. Step 6: Final answer
    x = 158.63

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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.