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Finding the Fourth Proportional to 197.34, 294.61 and 166.58

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Solution

The fourth proportional to 197.34, 294.61 and 166.58 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 294.61 = 166.58 : x
  2. Step 2: Convert to fraction form
    197.34/294.61 = 166.58/x
  3. Step 3: Cross multiply
    197.34x = 294.61 × 166.58
  4. Step 4: Simplify right side
    197.34x = 49,076.13
  5. Step 5: Solve for x
    x = 49,076.13/197.34
  6. Step 6: Final answer
    x = 248.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.