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Finding the Fourth Proportional to 208.60, 287.76 and 169.72

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Solution

The fourth proportional to 208.60, 287.76 and 169.72 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.60 : 287.76 = 169.72 : x
  2. Step 2: Convert to fraction form
    208.60/287.76 = 169.72/x
  3. Step 3: Cross multiply
    208.60x = 287.76 × 169.72
  4. Step 4: Simplify right side
    208.60x = 48,838.63
  5. Step 5: Solve for x
    x = 48,838.63/208.60
  6. Step 6: Final answer
    x = 234.13

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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.