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Finding the Fourth Proportional to 197.33, 295.08 and 142.66

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Solution

The fourth proportional to 197.33, 295.08 and 142.66 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.33 : 295.08 = 142.66 : x
  2. Step 2: Convert to fraction form
    197.33/295.08 = 142.66/x
  3. Step 3: Cross multiply
    197.33x = 295.08 × 142.66
  4. Step 4: Simplify right side
    197.33x = 42,094.64
  5. Step 5: Solve for x
    x = 42,094.64/197.33
  6. Step 6: Final answer
    x = 213.32

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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.