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Finding the Fourth Proportional to 258.55, 356.30 and 184.66

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Solution

The fourth proportional to 258.55, 356.30 and 184.66 is: 254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.55 : 356.30 = 184.66 : x
  2. Step 2: Convert to fraction form
    258.55/356.30 = 184.66/x
  3. Step 3: Cross multiply
    258.55x = 356.30 × 184.66
  4. Step 4: Simplify right side
    258.55x = 65,793.43
  5. Step 5: Solve for x
    x = 65,793.43/258.55
  6. Step 6: Final answer
    x = 254.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.