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Finding the Fourth Proportional to 591.10, 886.73 and 180.17

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Solution

The fourth proportional to 591.10, 886.73 and 180.17 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 886.73 = 180.17 : x
  2. Step 2: Convert to fraction form
    591.10/886.73 = 180.17/x
  3. Step 3: Cross multiply
    591.10x = 886.73 × 180.17
  4. Step 4: Simplify right side
    591.10x = 159,766.14
  5. Step 5: Solve for x
    x = 159,766.14/591.10
  6. Step 6: Final answer
    x = 270.29

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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.