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Finding the Fourth Proportional to 247.33, 370.86 and 123.66

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Solution

The fourth proportional to 247.33, 370.86 and 123.66 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.33 : 370.86 = 123.66 : x
  2. Step 2: Convert to fraction form
    247.33/370.86 = 123.66/x
  3. Step 3: Cross multiply
    247.33x = 370.86 × 123.66
  4. Step 4: Simplify right side
    247.33x = 45,860.55
  5. Step 5: Solve for x
    x = 45,860.55/247.33
  6. Step 6: Final answer
    x = 185.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.