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Finding the Fourth Proportional to 258.30, 356.47 and 147.79

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Solution

The fourth proportional to 258.30, 356.47 and 147.79 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 356.47 = 147.79 : x
  2. Step 2: Convert to fraction form
    258.30/356.47 = 147.79/x
  3. Step 3: Cross multiply
    258.30x = 356.47 × 147.79
  4. Step 4: Simplify right side
    258.30x = 52,682.78
  5. Step 5: Solve for x
    x = 52,682.78/258.30
  6. Step 6: Final answer
    x = 203.96

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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.