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Finding the Fourth Proportional to 197.35, 294.48 and 176.85

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Solution

The fourth proportional to 197.35, 294.48 and 176.85 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 294.48 = 176.85 : x
  2. Step 2: Convert to fraction form
    197.35/294.48 = 176.85/x
  3. Step 3: Cross multiply
    197.35x = 294.48 × 176.85
  4. Step 4: Simplify right side
    197.35x = 52,078.79
  5. Step 5: Solve for x
    x = 52,078.79/197.35
  6. Step 6: Final answer
    x = 263.89

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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.