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Finding the Fourth Proportional to 265.16, 365.96 and 160.31

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Solution

The fourth proportional to 265.16, 365.96 and 160.31 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 365.96 = 160.31 : x
  2. Step 2: Convert to fraction form
    265.16/365.96 = 160.31/x
  3. Step 3: Cross multiply
    265.16x = 365.96 × 160.31
  4. Step 4: Simplify right side
    265.16x = 58,668.36
  5. Step 5: Solve for x
    x = 58,668.36/265.16
  6. Step 6: Final answer
    x = 221.25

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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.