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Finding the Fourth Proportional to 265.14, 365.91 and 148.71

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Solution

The fourth proportional to 265.14, 365.91 and 148.71 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 365.91 = 148.71 : x
  2. Step 2: Convert to fraction form
    265.14/365.91 = 148.71/x
  3. Step 3: Cross multiply
    265.14x = 365.91 × 148.71
  4. Step 4: Simplify right side
    265.14x = 54,414.48
  5. Step 5: Solve for x
    x = 54,414.48/265.14
  6. Step 6: Final answer
    x = 205.23

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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.