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Finding the Fourth Proportional to 255.36, 382.80 and 174.32

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Solution

The fourth proportional to 255.36, 382.80 and 174.32 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 382.80 = 174.32 : x
  2. Step 2: Convert to fraction form
    255.36/382.80 = 174.32/x
  3. Step 3: Cross multiply
    255.36x = 382.80 × 174.32
  4. Step 4: Simplify right side
    255.36x = 66,729.70
  5. Step 5: Solve for x
    x = 66,729.70/255.36
  6. Step 6: Final answer
    x = 261.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.