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Finding the Fourth Proportional to 591.85, 887.76 and 181.00

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Solution

The fourth proportional to 591.85, 887.76 and 181.00 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.85 : 887.76 = 181.00 : x
  2. Step 2: Convert to fraction form
    591.85/887.76 = 181.00/x
  3. Step 3: Cross multiply
    591.85x = 887.76 × 181.00
  4. Step 4: Simplify right side
    591.85x = 160,680.12
  5. Step 5: Solve for x
    x = 160,680.12/591.85
  6. Step 6: Final answer
    x = 271.49

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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.