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Finding the Fourth Proportional to 243.77, 365.34 and 89.53

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Solution

The fourth proportional to 243.77, 365.34 and 89.53 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.77 : 365.34 = 89.53 : x
  2. Step 2: Convert to fraction form
    243.77/365.34 = 89.53/x
  3. Step 3: Cross multiply
    243.77x = 365.34 × 89.53
  4. Step 4: Simplify right side
    243.77x = 32,708.31
  5. Step 5: Solve for x
    x = 32,708.31/243.77
  6. Step 6: Final answer
    x = 134.18

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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.