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Finding the Fourth Proportional to 184.32, 254.34 and 106.74

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Solution

The fourth proportional to 184.32, 254.34 and 106.74 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 254.34 = 106.74 : x
  2. Step 2: Convert to fraction form
    184.32/254.34 = 106.74/x
  3. Step 3: Cross multiply
    184.32x = 254.34 × 106.74
  4. Step 4: Simplify right side
    184.32x = 27,148.25
  5. Step 5: Solve for x
    x = 27,148.25/184.32
  6. Step 6: Final answer
    x = 147.29

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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.