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Finding the Fourth Proportional to 150.42, 224.56 and 148.88

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Solution

The fourth proportional to 150.42, 224.56 and 148.88 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 224.56 = 148.88 : x
  2. Step 2: Convert to fraction form
    150.42/224.56 = 148.88/x
  3. Step 3: Cross multiply
    150.42x = 224.56 × 148.88
  4. Step 4: Simplify right side
    150.42x = 33,432.49
  5. Step 5: Solve for x
    x = 33,432.49/150.42
  6. Step 6: Final answer
    x = 222.26

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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.