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Finding the Fourth Proportional to 257.60, 355.36 and 174.78

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Solution

The fourth proportional to 257.60, 355.36 and 174.78 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 355.36 = 174.78 : x
  2. Step 2: Convert to fraction form
    257.60/355.36 = 174.78/x
  3. Step 3: Cross multiply
    257.60x = 355.36 × 174.78
  4. Step 4: Simplify right side
    257.60x = 62,109.82
  5. Step 5: Solve for x
    x = 62,109.82/257.60
  6. Step 6: Final answer
    x = 241.11

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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.