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Finding the Fourth Proportional to 184.19, 254.07 and 133.74

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Solution

The fourth proportional to 184.19, 254.07 and 133.74 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 254.07 = 133.74 : x
  2. Step 2: Convert to fraction form
    184.19/254.07 = 133.74/x
  3. Step 3: Cross multiply
    184.19x = 254.07 × 133.74
  4. Step 4: Simplify right side
    184.19x = 33,979.32
  5. Step 5: Solve for x
    x = 33,979.32/184.19
  6. Step 6: Final answer
    x = 184.48

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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.