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Finding the Fourth Proportional to 373.12, 559.68 and 180.48

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Solution

The fourth proportional to 373.12, 559.68 and 180.48 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.12 : 559.68 = 180.48 : x
  2. Step 2: Convert to fraction form
    373.12/559.68 = 180.48/x
  3. Step 3: Cross multiply
    373.12x = 559.68 × 180.48
  4. Step 4: Simplify right side
    373.12x = 101,011.05
  5. Step 5: Solve for x
    x = 101,011.05/373.12
  6. Step 6: Final answer
    x = 270.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.