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Finding the Fourth Proportional to 550.16, 825.14 and 203.66

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Solution

The fourth proportional to 550.16, 825.14 and 203.66 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.16 : 825.14 = 203.66 : x
  2. Step 2: Convert to fraction form
    550.16/825.14 = 203.66/x
  3. Step 3: Cross multiply
    550.16x = 825.14 × 203.66
  4. Step 4: Simplify right side
    550.16x = 168,044.40
  5. Step 5: Solve for x
    x = 168,044.40/550.16
  6. Step 6: Final answer
    x = 305.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.