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Finding the Fourth Proportional to 243.45, 364.74 and 166.29

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Solution

The fourth proportional to 243.45, 364.74 and 166.29 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.45 : 364.74 = 166.29 : x
  2. Step 2: Convert to fraction form
    243.45/364.74 = 166.29/x
  3. Step 3: Cross multiply
    243.45x = 364.74 × 166.29
  4. Step 4: Simplify right side
    243.45x = 60,652.61
  5. Step 5: Solve for x
    x = 60,652.61/243.45
  6. Step 6: Final answer
    x = 249.14

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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.