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Finding the Fourth Proportional to 255.42, 382.55 and 235.44

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Solution

The fourth proportional to 255.42, 382.55 and 235.44 is: 352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 382.55 = 235.44 : x
  2. Step 2: Convert to fraction form
    255.42/382.55 = 235.44/x
  3. Step 3: Cross multiply
    255.42x = 382.55 × 235.44
  4. Step 4: Simplify right side
    255.42x = 90,066.39
  5. Step 5: Solve for x
    x = 90,066.39/255.42
  6. Step 6: Final answer
    x = 352.62

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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.