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Finding the Fourth Proportional to 184.07, 254.34 and 140.74

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Solution

The fourth proportional to 184.07, 254.34 and 140.74 is: 194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.07 : 254.34 = 140.74 : x
  2. Step 2: Convert to fraction form
    184.07/254.34 = 140.74/x
  3. Step 3: Cross multiply
    184.07x = 254.34 × 140.74
  4. Step 4: Simplify right side
    184.07x = 35,795.18
  5. Step 5: Solve for x
    x = 35,795.18/184.07
  6. Step 6: Final answer
    x = 194.46

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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.