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Finding the Fourth Proportional to 265.22, 397.70 and 135.14

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Solution

The fourth proportional to 265.22, 397.70 and 135.14 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 397.70 = 135.14 : x
  2. Step 2: Convert to fraction form
    265.22/397.70 = 135.14/x
  3. Step 3: Cross multiply
    265.22x = 397.70 × 135.14
  4. Step 4: Simplify right side
    265.22x = 53,745.18
  5. Step 5: Solve for x
    x = 53,745.18/265.22
  6. Step 6: Final answer
    x = 202.64

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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.