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Finding the Fourth Proportional to 265.09, 365.74 and 160.15

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Solution

The fourth proportional to 265.09, 365.74 and 160.15 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.09 : 365.74 = 160.15 : x
  2. Step 2: Convert to fraction form
    265.09/365.74 = 160.15/x
  3. Step 3: Cross multiply
    265.09x = 365.74 × 160.15
  4. Step 4: Simplify right side
    265.09x = 58,573.26
  5. Step 5: Solve for x
    x = 58,573.26/265.09
  6. Step 6: Final answer
    x = 220.96

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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.