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Finding the Fourth Proportional to 197.59, 296.14 and 106.10

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Solution

The fourth proportional to 197.59, 296.14 and 106.10 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 296.14 = 106.10 : x
  2. Step 2: Convert to fraction form
    197.59/296.14 = 106.10/x
  3. Step 3: Cross multiply
    197.59x = 296.14 × 106.10
  4. Step 4: Simplify right side
    197.59x = 31,420.45
  5. Step 5: Solve for x
    x = 31,420.45/197.59
  6. Step 6: Final answer
    x = 159.02

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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.