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Finding the Fourth Proportional to 373.13, 559.80 and 177.97

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Solution

The fourth proportional to 373.13, 559.80 and 177.97 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.13 : 559.80 = 177.97 : x
  2. Step 2: Convert to fraction form
    373.13/559.80 = 177.97/x
  3. Step 3: Cross multiply
    373.13x = 559.80 × 177.97
  4. Step 4: Simplify right side
    373.13x = 99,627.61
  5. Step 5: Solve for x
    x = 99,627.61/373.13
  6. Step 6: Final answer
    x = 267.01

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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.