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Finding the Fourth Proportional to 150.35, 224.02 and 134.19

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Solution

The fourth proportional to 150.35, 224.02 and 134.19 is: 199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.35 : 224.02 = 134.19 : x
  2. Step 2: Convert to fraction form
    150.35/224.02 = 134.19/x
  3. Step 3: Cross multiply
    150.35x = 224.02 × 134.19
  4. Step 4: Simplify right side
    150.35x = 30,061.24
  5. Step 5: Solve for x
    x = 30,061.24/150.35
  6. Step 6: Final answer
    x = 199.95

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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.