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Finding the Fourth Proportional to 265.65, 398.48 and 109.48

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Solution

The fourth proportional to 265.65, 398.48 and 109.48 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 398.48 = 109.48 : x
  2. Step 2: Convert to fraction form
    265.65/398.48 = 109.48/x
  3. Step 3: Cross multiply
    265.65x = 398.48 × 109.48
  4. Step 4: Simplify right side
    265.65x = 43,623.05
  5. Step 5: Solve for x
    x = 43,623.05/265.65
  6. Step 6: Final answer
    x = 164.21

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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.