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Finding the Fourth Proportional to 197.79, 296.84 and 74.51

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Solution

The fourth proportional to 197.79, 296.84 and 74.51 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.79 : 296.84 = 74.51 : x
  2. Step 2: Convert to fraction form
    197.79/296.84 = 74.51/x
  3. Step 3: Cross multiply
    197.79x = 296.84 × 74.51
  4. Step 4: Simplify right side
    197.79x = 22,117.55
  5. Step 5: Solve for x
    x = 22,117.55/197.79
  6. Step 6: Final answer
    x = 111.82

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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.