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Finding the Fourth Proportional to 265.32, 398.06 and 111.26

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Solution

The fourth proportional to 265.32, 398.06 and 111.26 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 398.06 = 111.26 : x
  2. Step 2: Convert to fraction form
    265.32/398.06 = 111.26/x
  3. Step 3: Cross multiply
    265.32x = 398.06 × 111.26
  4. Step 4: Simplify right side
    265.32x = 44,288.16
  5. Step 5: Solve for x
    x = 44,288.16/265.32
  6. Step 6: Final answer
    x = 166.92

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Why These Related Problems?

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