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Finding the Fourth Proportional to 197.84, 296.52 and 146.72

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Solution

The fourth proportional to 197.84, 296.52 and 146.72 is: 219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 296.52 = 146.72 : x
  2. Step 2: Convert to fraction form
    197.84/296.52 = 146.72/x
  3. Step 3: Cross multiply
    197.84x = 296.52 × 146.72
  4. Step 4: Simplify right side
    197.84x = 43,505.41
  5. Step 5: Solve for x
    x = 43,505.41/197.84
  6. Step 6: Final answer
    x = 219.90

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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.