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Finding the Fourth Proportional to 179.02, 268.52 and 82.90

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Solution

The fourth proportional to 179.02, 268.52 and 82.90 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.02 : 268.52 = 82.90 : x
  2. Step 2: Convert to fraction form
    179.02/268.52 = 82.90/x
  3. Step 3: Cross multiply
    179.02x = 268.52 × 82.90
  4. Step 4: Simplify right side
    179.02x = 22,260.31
  5. Step 5: Solve for x
    x = 22,260.31/179.02
  6. Step 6: Final answer
    x = 124.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.