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Finding the Fourth Proportional to 373.48, 560.24 and 157.07

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Solution

The fourth proportional to 373.48, 560.24 and 157.07 is: 235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.48 : 560.24 = 157.07 : x
  2. Step 2: Convert to fraction form
    373.48/560.24 = 157.07/x
  3. Step 3: Cross multiply
    373.48x = 560.24 × 157.07
  4. Step 4: Simplify right side
    373.48x = 87,996.90
  5. Step 5: Solve for x
    x = 87,996.90/373.48
  6. Step 6: Final answer
    x = 235.61

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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.