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Finding the Fourth Proportional to 151.92, 228.18 and 133.70

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Solution

The fourth proportional to 151.92, 228.18 and 133.70 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 228.18 = 133.70 : x
  2. Step 2: Convert to fraction form
    151.92/228.18 = 133.70/x
  3. Step 3: Cross multiply
    151.92x = 228.18 × 133.70
  4. Step 4: Simplify right side
    151.92x = 30,506.53
  5. Step 5: Solve for x
    x = 30,506.53/151.92
  6. Step 6: Final answer
    x = 200.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.