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Finding the Fourth Proportional to 258.78, 357.10 and 148.24

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Solution

The fourth proportional to 258.78, 357.10 and 148.24 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.10 = 148.24 : x
  2. Step 2: Convert to fraction form
    258.78/357.10 = 148.24/x
  3. Step 3: Cross multiply
    258.78x = 357.10 × 148.24
  4. Step 4: Simplify right side
    258.78x = 52,936.50
  5. Step 5: Solve for x
    x = 52,936.50/258.78
  6. Step 6: Final answer
    x = 204.56

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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.