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Finding the Fourth Proportional to 179.30, 268.77 and 83

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Solution

The fourth proportional to 179.30, 268.77 and 83 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.30 : 268.77 = 83 : x
  2. Step 2: Convert to fraction form
    179.30/268.77 = 83/x
  3. Step 3: Cross multiply
    179.30x = 268.77 × 83
  4. Step 4: Simplify right side
    179.30x = 22,307.91
  5. Step 5: Solve for x
    x = 22,307.91/179.30
  6. Step 6: Final answer
    x = 124.42

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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.