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Finding the Fourth Proportional to 258.41, 387.78 and 121.46

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Solution

The fourth proportional to 258.41, 387.78 and 121.46 is: 182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.41 : 387.78 = 121.46 : x
  2. Step 2: Convert to fraction form
    258.41/387.78 = 121.46/x
  3. Step 3: Cross multiply
    258.41x = 387.78 × 121.46
  4. Step 4: Simplify right side
    258.41x = 47,097.82
  5. Step 5: Solve for x
    x = 47,097.82/258.41
  6. Step 6: Final answer
    x = 182.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.