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Finding the Fourth Proportional to 230.49, 345.72 and 57.15

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Solution

The fourth proportional to 230.49, 345.72 and 57.15 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 345.72 = 57.15 : x
  2. Step 2: Convert to fraction form
    230.49/345.72 = 57.15/x
  3. Step 3: Cross multiply
    230.49x = 345.72 × 57.15
  4. Step 4: Simplify right side
    230.49x = 19,757.90
  5. Step 5: Solve for x
    x = 19,757.90/230.49
  6. Step 6: Final answer
    x = 85.72

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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.