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Finding the Fourth Proportional to 179.80, 268.55 and 157.12

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Solution

The fourth proportional to 179.80, 268.55 and 157.12 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 268.55 = 157.12 : x
  2. Step 2: Convert to fraction form
    179.80/268.55 = 157.12/x
  3. Step 3: Cross multiply
    179.80x = 268.55 × 157.12
  4. Step 4: Simplify right side
    179.80x = 42,194.58
  5. Step 5: Solve for x
    x = 42,194.58/179.80
  6. Step 6: Final answer
    x = 234.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.