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Finding the Fourth Proportional to 265.97, 367.01 and 147.93

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Solution

The fourth proportional to 265.97, 367.01 and 147.93 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 367.01 = 147.93 : x
  2. Step 2: Convert to fraction form
    265.97/367.01 = 147.93/x
  3. Step 3: Cross multiply
    265.97x = 367.01 × 147.93
  4. Step 4: Simplify right side
    265.97x = 54,291.06
  5. Step 5: Solve for x
    x = 54,291.06/265.97
  6. Step 6: Final answer
    x = 204.13

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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.