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Finding the Fourth Proportional to 257.04, 354.56 and 187.26

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Solution

The fourth proportional to 257.04, 354.56 and 187.26 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 354.56 = 187.26 : x
  2. Step 2: Convert to fraction form
    257.04/354.56 = 187.26/x
  3. Step 3: Cross multiply
    257.04x = 354.56 × 187.26
  4. Step 4: Simplify right side
    257.04x = 66,393.97
  5. Step 5: Solve for x
    x = 66,393.97/257.04
  6. Step 6: Final answer
    x = 258.30

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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.