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Finding the Fourth Proportional to 550.19, 825.16 and 160.10

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Solution

The fourth proportional to 550.19, 825.16 and 160.10 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.19 : 825.16 = 160.10 : x
  2. Step 2: Convert to fraction form
    550.19/825.16 = 160.10/x
  3. Step 3: Cross multiply
    550.19x = 825.16 × 160.10
  4. Step 4: Simplify right side
    550.19x = 132,103.59
  5. Step 5: Solve for x
    x = 132,103.59/550.19
  6. Step 6: Final answer
    x = 240.11

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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.