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Finding the Fourth Proportional to 184.50, 254.48 and 114.53

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Solution

The fourth proportional to 184.50, 254.48 and 114.53 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 254.48 = 114.53 : x
  2. Step 2: Convert to fraction form
    184.50/254.48 = 114.53/x
  3. Step 3: Cross multiply
    184.50x = 254.48 × 114.53
  4. Step 4: Simplify right side
    184.50x = 29,143.75
  5. Step 5: Solve for x
    x = 29,143.75/184.50
  6. Step 6: Final answer
    x = 157.96

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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.