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Finding the Fourth Proportional to 247.10, 370.29 and 182.66

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Solution

The fourth proportional to 247.10, 370.29 and 182.66 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.10 : 370.29 = 182.66 : x
  2. Step 2: Convert to fraction form
    247.10/370.29 = 182.66/x
  3. Step 3: Cross multiply
    247.10x = 370.29 × 182.66
  4. Step 4: Simplify right side
    247.10x = 67,637.17
  5. Step 5: Solve for x
    x = 67,637.17/247.10
  6. Step 6: Final answer
    x = 273.72

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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.