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Finding the Fourth Proportional to 243.64, 365.52 and 216.79

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Solution

The fourth proportional to 243.64, 365.52 and 216.79 is: 325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.64 : 365.52 = 216.79 : x
  2. Step 2: Convert to fraction form
    243.64/365.52 = 216.79/x
  3. Step 3: Cross multiply
    243.64x = 365.52 × 216.79
  4. Step 4: Simplify right side
    243.64x = 79,241.08
  5. Step 5: Solve for x
    x = 79,241.08/243.64
  6. Step 6: Final answer
    x = 325.24

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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.