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Finding the Fourth Proportional to 262.08, 392.85 and 125.15

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Solution

The fourth proportional to 262.08, 392.85 and 125.15 is: 187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 392.85 = 125.15 : x
  2. Step 2: Convert to fraction form
    262.08/392.85 = 125.15/x
  3. Step 3: Cross multiply
    262.08x = 392.85 × 125.15
  4. Step 4: Simplify right side
    262.08x = 49,163.21
  5. Step 5: Solve for x
    x = 49,163.21/262.08
  6. Step 6: Final answer
    x = 187.59

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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.