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Finding the Fourth Proportional to 373.14, 559.84 and 178.14

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Solution

The fourth proportional to 373.14, 559.84 and 178.14 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 559.84 = 178.14 : x
  2. Step 2: Convert to fraction form
    373.14/559.84 = 178.14/x
  3. Step 3: Cross multiply
    373.14x = 559.84 × 178.14
  4. Step 4: Simplify right side
    373.14x = 99,729.90
  5. Step 5: Solve for x
    x = 99,729.90/373.14
  6. Step 6: Final answer
    x = 267.27

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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.