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Finding the Fourth Proportional to 180.56, 248.83 and 114.95

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Solution

The fourth proportional to 180.56, 248.83 and 114.95 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 248.83 = 114.95 : x
  2. Step 2: Convert to fraction form
    180.56/248.83 = 114.95/x
  3. Step 3: Cross multiply
    180.56x = 248.83 × 114.95
  4. Step 4: Simplify right side
    180.56x = 28,603.34
  5. Step 5: Solve for x
    x = 28,603.34/180.56
  6. Step 6: Final answer
    x = 158.41

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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.