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Finding the Fourth Proportional to 150.23, 224.49 and 123.20

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Solution

The fourth proportional to 150.23, 224.49 and 123.20 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 224.49 = 123.20 : x
  2. Step 2: Convert to fraction form
    150.23/224.49 = 123.20/x
  3. Step 3: Cross multiply
    150.23x = 224.49 × 123.20
  4. Step 4: Simplify right side
    150.23x = 27,657.17
  5. Step 5: Solve for x
    x = 27,657.17/150.23
  6. Step 6: Final answer
    x = 184.10

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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.