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Finding the Fourth Proportional to 247.06, 370.50 and 109.97

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Solution

The fourth proportional to 247.06, 370.50 and 109.97 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.06 : 370.50 = 109.97 : x
  2. Step 2: Convert to fraction form
    247.06/370.50 = 109.97/x
  3. Step 3: Cross multiply
    247.06x = 370.50 × 109.97
  4. Step 4: Simplify right side
    247.06x = 40,743.89
  5. Step 5: Solve for x
    x = 40,743.89/247.06
  6. Step 6: Final answer
    x = 164.91

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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.