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Finding the Fourth Proportional to 184.24, 254.07 and 128.89

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Solution

The fourth proportional to 184.24, 254.07 and 128.89 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 254.07 = 128.89 : x
  2. Step 2: Convert to fraction form
    184.24/254.07 = 128.89/x
  3. Step 3: Cross multiply
    184.24x = 254.07 × 128.89
  4. Step 4: Simplify right side
    184.24x = 32,747.08
  5. Step 5: Solve for x
    x = 32,747.08/184.24
  6. Step 6: Final answer
    x = 177.74

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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.