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Finding the Fourth Proportional to 588.73, 883.25 and 177.86

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Solution

The fourth proportional to 588.73, 883.25 and 177.86 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 883.25 = 177.86 : x
  2. Step 2: Convert to fraction form
    588.73/883.25 = 177.86/x
  3. Step 3: Cross multiply
    588.73x = 883.25 × 177.86
  4. Step 4: Simplify right side
    588.73x = 157,094.85
  5. Step 5: Solve for x
    x = 157,094.85/588.73
  6. Step 6: Final answer
    x = 266.84

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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.