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Finding the Fourth Proportional to 258.44, 356.63 and 147.91

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Solution

The fourth proportional to 258.44, 356.63 and 147.91 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 356.63 = 147.91 : x
  2. Step 2: Convert to fraction form
    258.44/356.63 = 147.91/x
  3. Step 3: Cross multiply
    258.44x = 356.63 × 147.91
  4. Step 4: Simplify right side
    258.44x = 52,749.14
  5. Step 5: Solve for x
    x = 52,749.14/258.44
  6. Step 6: Final answer
    x = 204.11

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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.