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Finding the Fourth Proportional to 180.46, 248.97 and 114.04

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Solution

The fourth proportional to 180.46, 248.97 and 114.04 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 248.97 = 114.04 : x
  2. Step 2: Convert to fraction form
    180.46/248.97 = 114.04/x
  3. Step 3: Cross multiply
    180.46x = 248.97 × 114.04
  4. Step 4: Simplify right side
    180.46x = 28,393.28
  5. Step 5: Solve for x
    x = 28,393.28/180.46
  6. Step 6: Final answer
    x = 157.34

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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.