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Finding the Fourth Proportional to 150.53, 224.87 and 144.86

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Solution

The fourth proportional to 150.53, 224.87 and 144.86 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 224.87 = 144.86 : x
  2. Step 2: Convert to fraction form
    150.53/224.87 = 144.86/x
  3. Step 3: Cross multiply
    150.53x = 224.87 × 144.86
  4. Step 4: Simplify right side
    150.53x = 32,572.82
  5. Step 5: Solve for x
    x = 32,572.82/150.53
  6. Step 6: Final answer
    x = 216.39

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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.