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Finding the Fourth Proportional to 197.41, 294.67 and 174.35

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Solution

The fourth proportional to 197.41, 294.67 and 174.35 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.41 : 294.67 = 174.35 : x
  2. Step 2: Convert to fraction form
    197.41/294.67 = 174.35/x
  3. Step 3: Cross multiply
    197.41x = 294.67 × 174.35
  4. Step 4: Simplify right side
    197.41x = 51,375.71
  5. Step 5: Solve for x
    x = 51,375.71/197.41
  6. Step 6: Final answer
    x = 260.25

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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.