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Finding the Fourth Proportional to 373.62, 559.95 and 178.50

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Solution

The fourth proportional to 373.62, 559.95 and 178.50 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.62 : 559.95 = 178.50 : x
  2. Step 2: Convert to fraction form
    373.62/559.95 = 178.50/x
  3. Step 3: Cross multiply
    373.62x = 559.95 × 178.50
  4. Step 4: Simplify right side
    373.62x = 99,951.08
  5. Step 5: Solve for x
    x = 99,951.08/373.62
  6. Step 6: Final answer
    x = 267.52

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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.