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Finding the Fourth Proportional to 265.22, 365.96 and 148.78

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Solution

The fourth proportional to 265.22, 365.96 and 148.78 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 365.96 = 148.78 : x
  2. Step 2: Convert to fraction form
    265.22/365.96 = 148.78/x
  3. Step 3: Cross multiply
    265.22x = 365.96 × 148.78
  4. Step 4: Simplify right side
    265.22x = 54,446.99
  5. Step 5: Solve for x
    x = 54,446.99/265.22
  6. Step 6: Final answer
    x = 205.29

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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.