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Finding the Fourth Proportional to 171.98, 237.30 and 106.50

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Solution

The fourth proportional to 171.98, 237.30 and 106.50 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.98 : 237.30 = 106.50 : x
  2. Step 2: Convert to fraction form
    171.98/237.30 = 106.50/x
  3. Step 3: Cross multiply
    171.98x = 237.30 × 106.50
  4. Step 4: Simplify right side
    171.98x = 25,272.45
  5. Step 5: Solve for x
    x = 25,272.45/171.98
  6. Step 6: Final answer
    x = 146.95

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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.