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Finding the Fourth Proportional to 209.25, 288.76 and 116.01

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Solution

The fourth proportional to 209.25, 288.76 and 116.01 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.76 = 116.01 : x
  2. Step 2: Convert to fraction form
    209.25/288.76 = 116.01/x
  3. Step 3: Cross multiply
    209.25x = 288.76 × 116.01
  4. Step 4: Simplify right side
    209.25x = 33,497.67
  5. Step 5: Solve for x
    x = 33,497.67/209.25
  6. Step 6: Final answer
    x = 160.09

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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.