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Finding the Fourth Proportional to 265.78, 398.06 and 222.58

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Solution

The fourth proportional to 265.78, 398.06 and 222.58 is: 333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 398.06 = 222.58 : x
  2. Step 2: Convert to fraction form
    265.78/398.06 = 222.58/x
  3. Step 3: Cross multiply
    265.78x = 398.06 × 222.58
  4. Step 4: Simplify right side
    265.78x = 88,600.19
  5. Step 5: Solve for x
    x = 88,600.19/265.78
  6. Step 6: Final answer
    x = 333.36

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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.