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Finding the Fourth Proportional to 150.79, 224.27 and 148.90

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Solution

The fourth proportional to 150.79, 224.27 and 148.90 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.79 : 224.27 = 148.90 : x
  2. Step 2: Convert to fraction form
    150.79/224.27 = 148.90/x
  3. Step 3: Cross multiply
    150.79x = 224.27 × 148.90
  4. Step 4: Simplify right side
    150.79x = 33,393.80
  5. Step 5: Solve for x
    x = 33,393.80/150.79
  6. Step 6: Final answer
    x = 221.46

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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.