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Finding the Fourth Proportional to 184.26, 254.28 and 106.64

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Solution

The fourth proportional to 184.26, 254.28 and 106.64 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.26 : 254.28 = 106.64 : x
  2. Step 2: Convert to fraction form
    184.26/254.28 = 106.64/x
  3. Step 3: Cross multiply
    184.26x = 254.28 × 106.64
  4. Step 4: Simplify right side
    184.26x = 27,116.42
  5. Step 5: Solve for x
    x = 27,116.42/184.26
  6. Step 6: Final answer
    x = 147.16

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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.