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Finding the Fourth Proportional to 197.40, 296.16 and 178.05

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Solution

The fourth proportional to 197.40, 296.16 and 178.05 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 296.16 = 178.05 : x
  2. Step 2: Convert to fraction form
    197.40/296.16 = 178.05/x
  3. Step 3: Cross multiply
    197.40x = 296.16 × 178.05
  4. Step 4: Simplify right side
    197.40x = 52,731.29
  5. Step 5: Solve for x
    x = 52,731.29/197.40
  6. Step 6: Final answer
    x = 267.13

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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.