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Finding the Fourth Proportional to 184.96, 254.91 and 141.40

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Solution

The fourth proportional to 184.96, 254.91 and 141.40 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 254.91 = 141.40 : x
  2. Step 2: Convert to fraction form
    184.96/254.91 = 141.40/x
  3. Step 3: Cross multiply
    184.96x = 254.91 × 141.40
  4. Step 4: Simplify right side
    184.96x = 36,044.27
  5. Step 5: Solve for x
    x = 36,044.27/184.96
  6. Step 6: Final answer
    x = 194.88

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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.