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Finding the Fourth Proportional to 265.00, 365.79 and 203.08

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Solution

The fourth proportional to 265.00, 365.79 and 203.08 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.00 : 365.79 = 203.08 : x
  2. Step 2: Convert to fraction form
    265.00/365.79 = 203.08/x
  3. Step 3: Cross multiply
    265.00x = 365.79 × 203.08
  4. Step 4: Simplify right side
    265.00x = 74,282.80
  5. Step 5: Solve for x
    x = 74,282.80/265.00
  6. Step 6: Final answer
    x = 280.32

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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.