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Finding the Fourth Proportional to 265.74, 398.35 and 111.48

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Solution

The fourth proportional to 265.74, 398.35 and 111.48 is: 167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 398.35 = 111.48 : x
  2. Step 2: Convert to fraction form
    265.74/398.35 = 111.48/x
  3. Step 3: Cross multiply
    265.74x = 398.35 × 111.48
  4. Step 4: Simplify right side
    265.74x = 44,408.94
  5. Step 5: Solve for x
    x = 44,408.94/265.74
  6. Step 6: Final answer
    x = 167.12

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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.