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Finding the Fourth Proportional to 257.78, 355.70 and 141.35

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Solution

The fourth proportional to 257.78, 355.70 and 141.35 is: 195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 355.70 = 141.35 : x
  2. Step 2: Convert to fraction form
    257.78/355.70 = 141.35/x
  3. Step 3: Cross multiply
    257.78x = 355.70 × 141.35
  4. Step 4: Simplify right side
    257.78x = 50,276.77
  5. Step 5: Solve for x
    x = 50,276.77/257.78
  6. Step 6: Final answer
    x = 195.04

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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.