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Finding the Fourth Proportional to 258.64, 356.76 and 185.08

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Solution

The fourth proportional to 258.64, 356.76 and 185.08 is: 255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.64 : 356.76 = 185.08 : x
  2. Step 2: Convert to fraction form
    258.64/356.76 = 185.08/x
  3. Step 3: Cross multiply
    258.64x = 356.76 × 185.08
  4. Step 4: Simplify right side
    258.64x = 66,029.14
  5. Step 5: Solve for x
    x = 66,029.14/258.64
  6. Step 6: Final answer
    x = 255.29

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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.