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Finding the Fourth Proportional to 591.16, 886.78 and 180.28

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Solution

The fourth proportional to 591.16, 886.78 and 180.28 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.16 : 886.78 = 180.28 : x
  2. Step 2: Convert to fraction form
    591.16/886.78 = 180.28/x
  3. Step 3: Cross multiply
    591.16x = 886.78 × 180.28
  4. Step 4: Simplify right side
    591.16x = 159,868.70
  5. Step 5: Solve for x
    x = 159,868.70/591.16
  6. Step 6: Final answer
    x = 270.43

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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.