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Finding the Fourth Proportional to 208.64, 288.16 and 179.36

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Solution

The fourth proportional to 208.64, 288.16 and 179.36 is: 247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 288.16 = 179.36 : x
  2. Step 2: Convert to fraction form
    208.64/288.16 = 179.36/x
  3. Step 3: Cross multiply
    208.64x = 288.16 × 179.36
  4. Step 4: Simplify right side
    208.64x = 51,684.38
  5. Step 5: Solve for x
    x = 51,684.38/208.64
  6. Step 6: Final answer
    x = 247.72

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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.