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Finding the Fourth Proportional to 184.26, 254.32 and 106.68

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Solution

The fourth proportional to 184.26, 254.32 and 106.68 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.26 : 254.32 = 106.68 : x
  2. Step 2: Convert to fraction form
    184.26/254.32 = 106.68/x
  3. Step 3: Cross multiply
    184.26x = 254.32 × 106.68
  4. Step 4: Simplify right side
    184.26x = 27,130.86
  5. Step 5: Solve for x
    x = 27,130.86/184.26
  6. Step 6: Final answer
    x = 147.24

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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.