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Finding the Fourth Proportional to 247.77, 371.66 and 65.16

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Solution

The fourth proportional to 247.77, 371.66 and 65.16 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.77 : 371.66 = 65.16 : x
  2. Step 2: Convert to fraction form
    247.77/371.66 = 65.16/x
  3. Step 3: Cross multiply
    247.77x = 371.66 × 65.16
  4. Step 4: Simplify right side
    247.77x = 24,217.37
  5. Step 5: Solve for x
    x = 24,217.37/247.77
  6. Step 6: Final answer
    x = 97.74

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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.