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Finding the Fourth Proportional to 193.33, 266.90 and 148.97

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Solution

The fourth proportional to 193.33, 266.90 and 148.97 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.33 : 266.90 = 148.97 : x
  2. Step 2: Convert to fraction form
    193.33/266.90 = 148.97/x
  3. Step 3: Cross multiply
    193.33x = 266.90 × 148.97
  4. Step 4: Simplify right side
    193.33x = 39,761.02
  5. Step 5: Solve for x
    x = 39,761.02/193.33
  6. Step 6: Final answer
    x = 205.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.