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Finding the Fourth Proportional to 209.53, 288.75 and 209.17

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Solution

The fourth proportional to 209.53, 288.75 and 209.17 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 288.75 = 209.17 : x
  2. Step 2: Convert to fraction form
    209.53/288.75 = 209.17/x
  3. Step 3: Cross multiply
    209.53x = 288.75 × 209.17
  4. Step 4: Simplify right side
    209.53x = 60,397.84
  5. Step 5: Solve for x
    x = 60,397.84/209.53
  6. Step 6: Final answer
    x = 288.25

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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.