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Finding the Fourth Proportional to 591.82, 887.43 and 180.86

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Solution

The fourth proportional to 591.82, 887.43 and 180.86 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 887.43 = 180.86 : x
  2. Step 2: Convert to fraction form
    591.82/887.43 = 180.86/x
  3. Step 3: Cross multiply
    591.82x = 887.43 × 180.86
  4. Step 4: Simplify right side
    591.82x = 160,500.59
  5. Step 5: Solve for x
    x = 160,500.59/591.82
  6. Step 6: Final answer
    x = 271.20

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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.