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Finding the Fourth Proportional to 550.26, 825.35 and 208.02

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Solution

The fourth proportional to 550.26, 825.35 and 208.02 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 825.35 = 208.02 : x
  2. Step 2: Convert to fraction form
    550.26/825.35 = 208.02/x
  3. Step 3: Cross multiply
    550.26x = 825.35 × 208.02
  4. Step 4: Simplify right side
    550.26x = 171,689.31
  5. Step 5: Solve for x
    x = 171,689.31/550.26
  6. Step 6: Final answer
    x = 312.01

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Why These Related Problems?

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