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Finding the Fourth Proportional to 209.98, 289.45 and 147.71

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Solution

The fourth proportional to 209.98, 289.45 and 147.71 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 289.45 = 147.71 : x
  2. Step 2: Convert to fraction form
    209.98/289.45 = 147.71/x
  3. Step 3: Cross multiply
    209.98x = 289.45 × 147.71
  4. Step 4: Simplify right side
    209.98x = 42,754.11
  5. Step 5: Solve for x
    x = 42,754.11/209.98
  6. Step 6: Final answer
    x = 203.61

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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.