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Finding the Fourth Proportional to 591.48, 886.88 and 180.50

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Solution

The fourth proportional to 591.48, 886.88 and 180.50 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.48 : 886.88 = 180.50 : x
  2. Step 2: Convert to fraction form
    591.48/886.88 = 180.50/x
  3. Step 3: Cross multiply
    591.48x = 886.88 × 180.50
  4. Step 4: Simplify right side
    591.48x = 160,081.84
  5. Step 5: Solve for x
    x = 160,081.84/591.48
  6. Step 6: Final answer
    x = 270.65

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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.