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Finding the Fourth Proportional to 243.68, 365.51 and 136.15

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Solution

The fourth proportional to 243.68, 365.51 and 136.15 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 365.51 = 136.15 : x
  2. Step 2: Convert to fraction form
    243.68/365.51 = 136.15/x
  3. Step 3: Cross multiply
    243.68x = 365.51 × 136.15
  4. Step 4: Simplify right side
    243.68x = 49,762.59
  5. Step 5: Solve for x
    x = 49,762.59/243.68
  6. Step 6: Final answer
    x = 204.22

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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.