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Finding the Fourth Proportional to 209.52, 313.74 and 166.10

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Solution

The fourth proportional to 209.52, 313.74 and 166.10 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 313.74 = 166.10 : x
  2. Step 2: Convert to fraction form
    209.52/313.74 = 166.10/x
  3. Step 3: Cross multiply
    209.52x = 313.74 × 166.10
  4. Step 4: Simplify right side
    209.52x = 52,112.21
  5. Step 5: Solve for x
    x = 52,112.21/209.52
  6. Step 6: Final answer
    x = 248.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.