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Finding the Fourth Proportional to 243.82, 365.57 and 99.37

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Solution

The fourth proportional to 243.82, 365.57 and 99.37 is: 148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.57 = 99.37 : x
  2. Step 2: Convert to fraction form
    243.82/365.57 = 99.37/x
  3. Step 3: Cross multiply
    243.82x = 365.57 × 99.37
  4. Step 4: Simplify right side
    243.82x = 36,326.69
  5. Step 5: Solve for x
    x = 36,326.69/243.82
  6. Step 6: Final answer
    x = 148.99

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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.