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Finding the Fourth Proportional to 265.62, 367.22 and 254.14

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Solution

The fourth proportional to 265.62, 367.22 and 254.14 is: 351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 367.22 = 254.14 : x
  2. Step 2: Convert to fraction form
    265.62/367.22 = 254.14/x
  3. Step 3: Cross multiply
    265.62x = 367.22 × 254.14
  4. Step 4: Simplify right side
    265.62x = 93,325.29
  5. Step 5: Solve for x
    x = 93,325.29/265.62
  6. Step 6: Final answer
    x = 351.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.