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Finding the Fourth Proportional to 197.39, 294.71 and 177.95

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Solution

The fourth proportional to 197.39, 294.71 and 177.95 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 294.71 = 177.95 : x
  2. Step 2: Convert to fraction form
    197.39/294.71 = 177.95/x
  3. Step 3: Cross multiply
    197.39x = 294.71 × 177.95
  4. Step 4: Simplify right side
    197.39x = 52,443.64
  5. Step 5: Solve for x
    x = 52,443.64/197.39
  6. Step 6: Final answer
    x = 265.69

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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.