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Finding the Fourth Proportional to 373.82, 560.34 and 130.19

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Solution

The fourth proportional to 373.82, 560.34 and 130.19 is: 195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.82 : 560.34 = 130.19 : x
  2. Step 2: Convert to fraction form
    373.82/560.34 = 130.19/x
  3. Step 3: Cross multiply
    373.82x = 560.34 × 130.19
  4. Step 4: Simplify right side
    373.82x = 72,947.86
  5. Step 5: Solve for x
    x = 72,947.86/373.82
  6. Step 6: Final answer
    x = 195.14

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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.