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Finding the Fourth Proportional to 208.46, 287.62 and 125.56

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Solution

The fourth proportional to 208.46, 287.62 and 125.56 is: 173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.46 : 287.62 = 125.56 : x
  2. Step 2: Convert to fraction form
    208.46/287.62 = 125.56/x
  3. Step 3: Cross multiply
    208.46x = 287.62 × 125.56
  4. Step 4: Simplify right side
    208.46x = 36,113.57
  5. Step 5: Solve for x
    x = 36,113.57/208.46
  6. Step 6: Final answer
    x = 173.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.