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Finding the Fourth Proportional to 587.86, 881.94 and 177.14

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Solution

The fourth proportional to 587.86, 881.94 and 177.14 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 881.94 = 177.14 : x
  2. Step 2: Convert to fraction form
    587.86/881.94 = 177.14/x
  3. Step 3: Cross multiply
    587.86x = 881.94 × 177.14
  4. Step 4: Simplify right side
    587.86x = 156,226.85
  5. Step 5: Solve for x
    x = 156,226.85/587.86
  6. Step 6: Final answer
    x = 265.76

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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.