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Finding the Fourth Proportional to 197.88, 296.64 and 101.76

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Solution

The fourth proportional to 197.88, 296.64 and 101.76 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 296.64 = 101.76 : x
  2. Step 2: Convert to fraction form
    197.88/296.64 = 101.76/x
  3. Step 3: Cross multiply
    197.88x = 296.64 × 101.76
  4. Step 4: Simplify right side
    197.88x = 30,186.09
  5. Step 5: Solve for x
    x = 30,186.09/197.88
  6. Step 6: Final answer
    x = 152.55

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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.