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Finding the Fourth Proportional to 265.98, 367.07 and 147.97

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Solution

The fourth proportional to 265.98, 367.07 and 147.97 is: 204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 367.07 = 147.97 : x
  2. Step 2: Convert to fraction form
    265.98/367.07 = 147.97/x
  3. Step 3: Cross multiply
    265.98x = 367.07 × 147.97
  4. Step 4: Simplify right side
    265.98x = 54,314.46
  5. Step 5: Solve for x
    x = 54,314.46/265.98
  6. Step 6: Final answer
    x = 204.20

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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.