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Finding the Fourth Proportional to 258.17, 356.29 and 147.66

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Solution

The fourth proportional to 258.17, 356.29 and 147.66 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.17 : 356.29 = 147.66 : x
  2. Step 2: Convert to fraction form
    258.17/356.29 = 147.66/x
  3. Step 3: Cross multiply
    258.17x = 356.29 × 147.66
  4. Step 4: Simplify right side
    258.17x = 52,608.08
  5. Step 5: Solve for x
    x = 52,608.08/258.17
  6. Step 6: Final answer
    x = 203.78

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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.