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Finding the Fourth Proportional to 265.44, 365.45 and 209.32

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Solution

The fourth proportional to 265.44, 365.45 and 209.32 is: 288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 365.45 = 209.32 : x
  2. Step 2: Convert to fraction form
    265.44/365.45 = 209.32/x
  3. Step 3: Cross multiply
    265.44x = 365.45 × 209.32
  4. Step 4: Simplify right side
    265.44x = 76,496.60
  5. Step 5: Solve for x
    x = 76,496.60/265.44
  6. Step 6: Final answer
    x = 288.19

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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.