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Finding the Fourth Proportional to 184.24, 254.21 and 114.20

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Solution

The fourth proportional to 184.24, 254.21 and 114.20 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 254.21 = 114.20 : x
  2. Step 2: Convert to fraction form
    184.24/254.21 = 114.20/x
  3. Step 3: Cross multiply
    184.24x = 254.21 × 114.20
  4. Step 4: Simplify right side
    184.24x = 29,030.78
  5. Step 5: Solve for x
    x = 29,030.78/184.24
  6. Step 6: Final answer
    x = 157.57

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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.