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Finding the Fourth Proportional to 255.86, 352.86 and 212.12

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Solution

The fourth proportional to 255.86, 352.86 and 212.12 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 352.86 = 212.12 : x
  2. Step 2: Convert to fraction form
    255.86/352.86 = 212.12/x
  3. Step 3: Cross multiply
    255.86x = 352.86 × 212.12
  4. Step 4: Simplify right side
    255.86x = 74,848.66
  5. Step 5: Solve for x
    x = 74,848.66/255.86
  6. Step 6: Final answer
    x = 292.54

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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.