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Finding the Fourth Proportional to 247.12, 370.37 and 100.75

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Solution

The fourth proportional to 247.12, 370.37 and 100.75 is: 151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.12 : 370.37 = 100.75 : x
  2. Step 2: Convert to fraction form
    247.12/370.37 = 100.75/x
  3. Step 3: Cross multiply
    247.12x = 370.37 × 100.75
  4. Step 4: Simplify right side
    247.12x = 37,314.42
  5. Step 5: Solve for x
    x = 37,314.42/247.12
  6. Step 6: Final answer
    x = 151.00

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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.