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Finding the Fourth Proportional to 150.44, 224.72 and 123.08

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Solution

The fourth proportional to 150.44, 224.72 and 123.08 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.44 : 224.72 = 123.08 : x
  2. Step 2: Convert to fraction form
    150.44/224.72 = 123.08/x
  3. Step 3: Cross multiply
    150.44x = 224.72 × 123.08
  4. Step 4: Simplify right side
    150.44x = 27,658.54
  5. Step 5: Solve for x
    x = 27,658.54/150.44
  6. Step 6: Final answer
    x = 183.85

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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.