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Finding the Fourth Proportional to 265.62, 365.14 and 237.32

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Solution

The fourth proportional to 265.62, 365.14 and 237.32 is: 326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 365.14 = 237.32 : x
  2. Step 2: Convert to fraction form
    265.62/365.14 = 237.32/x
  3. Step 3: Cross multiply
    265.62x = 365.14 × 237.32
  4. Step 4: Simplify right side
    265.62x = 86,655.31
  5. Step 5: Solve for x
    x = 86,655.31/265.62
  6. Step 6: Final answer
    x = 326.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.