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Finding the Fourth Proportional to 230.70, 345.80 and 127.88

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Solution

The fourth proportional to 230.70, 345.80 and 127.88 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 345.80 = 127.88 : x
  2. Step 2: Convert to fraction form
    230.70/345.80 = 127.88/x
  3. Step 3: Cross multiply
    230.70x = 345.80 × 127.88
  4. Step 4: Simplify right side
    230.70x = 44,220.90
  5. Step 5: Solve for x
    x = 44,220.90/230.70
  6. Step 6: Final answer
    x = 191.68

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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.