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Finding the Fourth Proportional to 150.45, 224.12 and 145.92

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Solution

The fourth proportional to 150.45, 224.12 and 145.92 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.45 : 224.12 = 145.92 : x
  2. Step 2: Convert to fraction form
    150.45/224.12 = 145.92/x
  3. Step 3: Cross multiply
    150.45x = 224.12 × 145.92
  4. Step 4: Simplify right side
    150.45x = 32,703.59
  5. Step 5: Solve for x
    x = 32,703.59/150.45
  6. Step 6: Final answer
    x = 217.37

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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.