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Finding the Fourth Proportional to 265.29, 398.07 and 137.04

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Solution

The fourth proportional to 265.29, 398.07 and 137.04 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.29 : 398.07 = 137.04 : x
  2. Step 2: Convert to fraction form
    265.29/398.07 = 137.04/x
  3. Step 3: Cross multiply
    265.29x = 398.07 × 137.04
  4. Step 4: Simplify right side
    265.29x = 54,551.51
  5. Step 5: Solve for x
    x = 54,551.51/265.29
  6. Step 6: Final answer
    x = 205.63

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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.