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Finding the Fourth Proportional to 197.14, 295.05 and 151.24

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Solution

The fourth proportional to 197.14, 295.05 and 151.24 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 295.05 = 151.24 : x
  2. Step 2: Convert to fraction form
    197.14/295.05 = 151.24/x
  3. Step 3: Cross multiply
    197.14x = 295.05 × 151.24
  4. Step 4: Simplify right side
    197.14x = 44,623.36
  5. Step 5: Solve for x
    x = 44,623.36/197.14
  6. Step 6: Final answer
    x = 226.35

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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.