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Finding the Fourth Proportional to 180.23, 248.76 and 114.70

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Solution

The fourth proportional to 180.23, 248.76 and 114.70 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 248.76 = 114.70 : x
  2. Step 2: Convert to fraction form
    180.23/248.76 = 114.70/x
  3. Step 3: Cross multiply
    180.23x = 248.76 × 114.70
  4. Step 4: Simplify right side
    180.23x = 28,532.77
  5. Step 5: Solve for x
    x = 28,532.77/180.23
  6. Step 6: Final answer
    x = 158.31

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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.