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Finding the Fourth Proportional to 258.66, 388.14 and 121.74

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Solution

The fourth proportional to 258.66, 388.14 and 121.74 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 388.14 = 121.74 : x
  2. Step 2: Convert to fraction form
    258.66/388.14 = 121.74/x
  3. Step 3: Cross multiply
    258.66x = 388.14 × 121.74
  4. Step 4: Simplify right side
    258.66x = 47,252.16
  5. Step 5: Solve for x
    x = 47,252.16/258.66
  6. Step 6: Final answer
    x = 182.68

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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.