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Finding the Fourth Proportional to 373.45, 560.07 and 123.24

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Solution

The fourth proportional to 373.45, 560.07 and 123.24 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.45 : 560.07 = 123.24 : x
  2. Step 2: Convert to fraction form
    373.45/560.07 = 123.24/x
  3. Step 3: Cross multiply
    373.45x = 560.07 × 123.24
  4. Step 4: Simplify right side
    373.45x = 69,025.10
  5. Step 5: Solve for x
    x = 69,025.10/373.45
  6. Step 6: Final answer
    x = 184.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.