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Finding the Fourth Proportional to 180.40, 248.68 and 171.96

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Solution

The fourth proportional to 180.40, 248.68 and 171.96 is: 237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 248.68 = 171.96 : x
  2. Step 2: Convert to fraction form
    180.40/248.68 = 171.96/x
  3. Step 3: Cross multiply
    180.40x = 248.68 × 171.96
  4. Step 4: Simplify right side
    180.40x = 42,763.01
  5. Step 5: Solve for x
    x = 42,763.01/180.40
  6. Step 6: Final answer
    x = 237.05

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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.