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Finding the Fourth Proportional to 591.87, 887.84 and 181.04

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Solution

The fourth proportional to 591.87, 887.84 and 181.04 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.87 : 887.84 = 181.04 : x
  2. Step 2: Convert to fraction form
    591.87/887.84 = 181.04/x
  3. Step 3: Cross multiply
    591.87x = 887.84 × 181.04
  4. Step 4: Simplify right side
    591.87x = 160,730.57
  5. Step 5: Solve for x
    x = 160,730.57/591.87
  6. Step 6: Final answer
    x = 271.56

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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.