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Finding the Fourth Proportional to 208.64, 288.04 and 161.91

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Solution

The fourth proportional to 208.64, 288.04 and 161.91 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 288.04 = 161.91 : x
  2. Step 2: Convert to fraction form
    208.64/288.04 = 161.91/x
  3. Step 3: Cross multiply
    208.64x = 288.04 × 161.91
  4. Step 4: Simplify right side
    208.64x = 46,636.15
  5. Step 5: Solve for x
    x = 46,636.15/208.64
  6. Step 6: Final answer
    x = 223.52

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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.