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Finding the Fourth Proportional to 243.19, 365.01 and 98.92

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Solution

The fourth proportional to 243.19, 365.01 and 98.92 is: 148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.19 : 365.01 = 98.92 : x
  2. Step 2: Convert to fraction form
    243.19/365.01 = 98.92/x
  3. Step 3: Cross multiply
    243.19x = 365.01 × 98.92
  4. Step 4: Simplify right side
    243.19x = 36,104.47
  5. Step 5: Solve for x
    x = 36,104.47/243.19
  6. Step 6: Final answer
    x = 148.47

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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.