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Finding the Fourth Proportional to 265.31, 398.01 and 135.24

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Solution

The fourth proportional to 265.31, 398.01 and 135.24 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.31 : 398.01 = 135.24 : x
  2. Step 2: Convert to fraction form
    265.31/398.01 = 135.24/x
  3. Step 3: Cross multiply
    265.31x = 398.01 × 135.24
  4. Step 4: Simplify right side
    265.31x = 53,825.89
  5. Step 5: Solve for x
    x = 53,825.89/265.31
  6. Step 6: Final answer
    x = 202.88

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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.