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Finding the Fourth Proportional to 209.32, 288.56 and 182.79

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Solution

The fourth proportional to 209.32, 288.56 and 182.79 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 288.56 = 182.79 : x
  2. Step 2: Convert to fraction form
    209.32/288.56 = 182.79/x
  3. Step 3: Cross multiply
    209.32x = 288.56 × 182.79
  4. Step 4: Simplify right side
    209.32x = 52,746.34
  5. Step 5: Solve for x
    x = 52,746.34/209.32
  6. Step 6: Final answer
    x = 251.99

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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.