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Finding the Fourth Proportional to 373.87, 560.67 and 178.80

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Solution

The fourth proportional to 373.87, 560.67 and 178.80 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.87 : 560.67 = 178.80 : x
  2. Step 2: Convert to fraction form
    373.87/560.67 = 178.80/x
  3. Step 3: Cross multiply
    373.87x = 560.67 × 178.80
  4. Step 4: Simplify right side
    373.87x = 100,247.80
  5. Step 5: Solve for x
    x = 100,247.80/373.87
  6. Step 6: Final answer
    x = 268.14

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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.