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Finding the Fourth Proportional to 197.74, 296.61 and 117.10

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Solution

The fourth proportional to 197.74, 296.61 and 117.10 is: 175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 296.61 = 117.10 : x
  2. Step 2: Convert to fraction form
    197.74/296.61 = 117.10/x
  3. Step 3: Cross multiply
    197.74x = 296.61 × 117.10
  4. Step 4: Simplify right side
    197.74x = 34,731.95
  5. Step 5: Solve for x
    x = 34,731.95/197.74
  6. Step 6: Final answer
    x = 175.64

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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.