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Finding the Fourth Proportional to 180.34, 248.82 and 114.86

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Solution

The fourth proportional to 180.34, 248.82 and 114.86 is: 158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 248.82 = 114.86 : x
  2. Step 2: Convert to fraction form
    180.34/248.82 = 114.86/x
  3. Step 3: Cross multiply
    180.34x = 248.82 × 114.86
  4. Step 4: Simplify right side
    180.34x = 28,579.47
  5. Step 5: Solve for x
    x = 28,579.47/180.34
  6. Step 6: Final answer
    x = 158.48

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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.