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Finding the Fourth Proportional to 257.15, 354.80 and 191.54

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Solution

The fourth proportional to 257.15, 354.80 and 191.54 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.15 : 354.80 = 191.54 : x
  2. Step 2: Convert to fraction form
    257.15/354.80 = 191.54/x
  3. Step 3: Cross multiply
    257.15x = 354.80 × 191.54
  4. Step 4: Simplify right side
    257.15x = 67,955.66
  5. Step 5: Solve for x
    x = 67,955.66/257.15
  6. Step 6: Final answer
    x = 264.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.