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Finding the Fourth Proportional to 197.84, 296.40 and 106.22

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Solution

The fourth proportional to 197.84, 296.40 and 106.22 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 296.40 = 106.22 : x
  2. Step 2: Convert to fraction form
    197.84/296.40 = 106.22/x
  3. Step 3: Cross multiply
    197.84x = 296.40 × 106.22
  4. Step 4: Simplify right side
    197.84x = 31,483.61
  5. Step 5: Solve for x
    x = 31,483.61/197.84
  6. Step 6: Final answer
    x = 159.14

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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.