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Finding the Fourth Proportional to 243.74, 365.06 and 171.38

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Solution

The fourth proportional to 243.74, 365.06 and 171.38 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 365.06 = 171.38 : x
  2. Step 2: Convert to fraction form
    243.74/365.06 = 171.38/x
  3. Step 3: Cross multiply
    243.74x = 365.06 × 171.38
  4. Step 4: Simplify right side
    243.74x = 62,563.98
  5. Step 5: Solve for x
    x = 62,563.98/243.74
  6. Step 6: Final answer
    x = 256.68

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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.