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Finding the Fourth Proportional to 150.39, 224.28 and 130.95

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Solution

The fourth proportional to 150.39, 224.28 and 130.95 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 224.28 = 130.95 : x
  2. Step 2: Convert to fraction form
    150.39/224.28 = 130.95/x
  3. Step 3: Cross multiply
    150.39x = 224.28 × 130.95
  4. Step 4: Simplify right side
    150.39x = 29,369.47
  5. Step 5: Solve for x
    x = 29,369.47/150.39
  6. Step 6: Final answer
    x = 195.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.