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Finding the Fourth Proportional to 265.25, 365.98 and 171.97

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Solution

The fourth proportional to 265.25, 365.98 and 171.97 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 365.98 = 171.97 : x
  2. Step 2: Convert to fraction form
    265.25/365.98 = 171.97/x
  3. Step 3: Cross multiply
    265.25x = 365.98 × 171.97
  4. Step 4: Simplify right side
    265.25x = 62,937.58
  5. Step 5: Solve for x
    x = 62,937.58/265.25
  6. Step 6: Final answer
    x = 237.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.