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Finding the Fourth Proportional to 237.97, 356.95 and 66.97

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Solution

The fourth proportional to 237.97, 356.95 and 66.97 is: 100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 356.95 = 66.97 : x
  2. Step 2: Convert to fraction form
    237.97/356.95 = 66.97/x
  3. Step 3: Cross multiply
    237.97x = 356.95 × 66.97
  4. Step 4: Simplify right side
    237.97x = 23,905.11
  5. Step 5: Solve for x
    x = 23,905.11/237.97
  6. Step 6: Final answer
    x = 100.45

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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.