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Finding the Fourth Proportional to 373.48, 560.43 and 178.70

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Solution

The fourth proportional to 373.48, 560.43 and 178.70 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.48 : 560.43 = 178.70 : x
  2. Step 2: Convert to fraction form
    373.48/560.43 = 178.70/x
  3. Step 3: Cross multiply
    373.48x = 560.43 × 178.70
  4. Step 4: Simplify right side
    373.48x = 100,146.04
  5. Step 5: Solve for x
    x = 100,146.04/373.48
  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.