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Finding the Fourth Proportional to 265.65, 398.47 and 109.44

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Solution

The fourth proportional to 265.65, 398.47 and 109.44 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 398.47 = 109.44 : x
  2. Step 2: Convert to fraction form
    265.65/398.47 = 109.44/x
  3. Step 3: Cross multiply
    265.65x = 398.47 × 109.44
  4. Step 4: Simplify right side
    265.65x = 43,608.56
  5. Step 5: Solve for x
    x = 43,608.56/265.65
  6. Step 6: Final answer
    x = 164.16

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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.