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Finding the Fourth Proportional to 209.32, 288.63 and 156.78

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Solution

The fourth proportional to 209.32, 288.63 and 156.78 is: 216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 288.63 = 156.78 : x
  2. Step 2: Convert to fraction form
    209.32/288.63 = 156.78/x
  3. Step 3: Cross multiply
    209.32x = 288.63 × 156.78
  4. Step 4: Simplify right side
    209.32x = 45,251.41
  5. Step 5: Solve for x
    x = 45,251.41/209.32
  6. Step 6: Final answer
    x = 216.19

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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.