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Finding the Fourth Proportional to 231.86, 346.80 and 177.20

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Solution

The fourth proportional to 231.86, 346.80 and 177.20 is: 265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 346.80 = 177.20 : x
  2. Step 2: Convert to fraction form
    231.86/346.80 = 177.20/x
  3. Step 3: Cross multiply
    231.86x = 346.80 × 177.20
  4. Step 4: Simplify right side
    231.86x = 61,452.96
  5. Step 5: Solve for x
    x = 61,452.96/231.86
  6. Step 6: Final answer
    x = 265.04

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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.