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Finding the Fourth Proportional to 243.82, 365.78 and 89.76

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Solution

The fourth proportional to 243.82, 365.78 and 89.76 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.78 = 89.76 : x
  2. Step 2: Convert to fraction form
    243.82/365.78 = 89.76/x
  3. Step 3: Cross multiply
    243.82x = 365.78 × 89.76
  4. Step 4: Simplify right side
    243.82x = 32,832.41
  5. Step 5: Solve for x
    x = 32,832.41/243.82
  6. Step 6: Final answer
    x = 134.66

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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.