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Finding the Fourth Proportional to 208.64, 287.36 and 166.72

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Solution

The fourth proportional to 208.64, 287.36 and 166.72 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.36 = 166.72 : x
  2. Step 2: Convert to fraction form
    208.64/287.36 = 166.72/x
  3. Step 3: Cross multiply
    208.64x = 287.36 × 166.72
  4. Step 4: Simplify right side
    208.64x = 47,908.66
  5. Step 5: Solve for x
    x = 47,908.66/208.64
  6. Step 6: Final answer
    x = 229.62

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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.