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Finding the Fourth Proportional to 197.50, 294.72 and 171.58

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Solution

The fourth proportional to 197.50, 294.72 and 171.58 is: 256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 294.72 = 171.58 : x
  2. Step 2: Convert to fraction form
    197.50/294.72 = 171.58/x
  3. Step 3: Cross multiply
    197.50x = 294.72 × 171.58
  4. Step 4: Simplify right side
    197.50x = 50,568.06
  5. Step 5: Solve for x
    x = 50,568.06/197.50
  6. Step 6: Final answer
    x = 256.04

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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.