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Finding the Fourth Proportional to 243.12, 363.96 and 230.88

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Solution

The fourth proportional to 243.12, 363.96 and 230.88 is: 345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 363.96 = 230.88 : x
  2. Step 2: Convert to fraction form
    243.12/363.96 = 230.88/x
  3. Step 3: Cross multiply
    243.12x = 363.96 × 230.88
  4. Step 4: Simplify right side
    243.12x = 84,031.08
  5. Step 5: Solve for x
    x = 84,031.08/243.12
  6. Step 6: Final answer
    x = 345.64

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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.