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Finding the Fourth Proportional to 209.32, 288.84 and 126.46

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Solution

The fourth proportional to 209.32, 288.84 and 126.46 is: 174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 288.84 = 126.46 : x
  2. Step 2: Convert to fraction form
    209.32/288.84 = 126.46/x
  3. Step 3: Cross multiply
    209.32x = 288.84 × 126.46
  4. Step 4: Simplify right side
    209.32x = 36,526.71
  5. Step 5: Solve for x
    x = 36,526.71/209.32
  6. Step 6: Final answer
    x = 174.50

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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.