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Finding the Fourth Proportional to 257.18, 354.56 and 178.42

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Solution

The fourth proportional to 257.18, 354.56 and 178.42 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.18 : 354.56 = 178.42 : x
  2. Step 2: Convert to fraction form
    257.18/354.56 = 178.42/x
  3. Step 3: Cross multiply
    257.18x = 354.56 × 178.42
  4. Step 4: Simplify right side
    257.18x = 63,260.60
  5. Step 5: Solve for x
    x = 63,260.60/257.18
  6. Step 6: Final answer
    x = 245.98

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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.