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Finding the Fourth Proportional to 265.57, 365.65 and 241.27

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Solution

The fourth proportional to 265.57, 365.65 and 241.27 is: 332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 365.65 = 241.27 : x
  2. Step 2: Convert to fraction form
    265.57/365.65 = 241.27/x
  3. Step 3: Cross multiply
    265.57x = 365.65 × 241.27
  4. Step 4: Simplify right side
    265.57x = 88,220.38
  5. Step 5: Solve for x
    x = 88,220.38/265.57
  6. Step 6: Final answer
    x = 332.19

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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.