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Finding the Fourth Proportional to 258.62, 356.76 and 184.82

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Solution

The fourth proportional to 258.62, 356.76 and 184.82 is: 254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.62 : 356.76 = 184.82 : x
  2. Step 2: Convert to fraction form
    258.62/356.76 = 184.82/x
  3. Step 3: Cross multiply
    258.62x = 356.76 × 184.82
  4. Step 4: Simplify right side
    258.62x = 65,934.60
  5. Step 5: Solve for x
    x = 65,934.60/258.62
  6. Step 6: Final answer
    x = 254.95

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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.