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Finding the Fourth Proportional to 243.62, 365.43 and 99.23

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Solution

The fourth proportional to 243.62, 365.43 and 99.23 is: 148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.62 : 365.43 = 99.23 : x
  2. Step 2: Convert to fraction form
    243.62/365.43 = 99.23/x
  3. Step 3: Cross multiply
    243.62x = 365.43 × 99.23
  4. Step 4: Simplify right side
    243.62x = 36,262.53
  5. Step 5: Solve for x
    x = 36,262.53/243.62
  6. Step 6: Final answer
    x = 148.85

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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.