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Finding the Fourth Proportional to 243.90, 365.67 and 99.72

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Solution

The fourth proportional to 243.90, 365.67 and 99.72 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.90 : 365.67 = 99.72 : x
  2. Step 2: Convert to fraction form
    243.90/365.67 = 99.72/x
  3. Step 3: Cross multiply
    243.90x = 365.67 × 99.72
  4. Step 4: Simplify right side
    243.90x = 36,464.61
  5. Step 5: Solve for x
    x = 36,464.61/243.90
  6. Step 6: Final answer
    x = 149.51

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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.