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Finding the Fourth Proportional to 197.04, 294.95 and 167.88

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Solution

The fourth proportional to 197.04, 294.95 and 167.88 is: 251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 294.95 = 167.88 : x
  2. Step 2: Convert to fraction form
    197.04/294.95 = 167.88/x
  3. Step 3: Cross multiply
    197.04x = 294.95 × 167.88
  4. Step 4: Simplify right side
    197.04x = 49,516.21
  5. Step 5: Solve for x
    x = 49,516.21/197.04
  6. Step 6: Final answer
    x = 251.30

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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.