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Finding the Fourth Proportional to 206.51, 309.77 and 69.54

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Solution

The fourth proportional to 206.51, 309.77 and 69.54 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 309.77 = 69.54 : x
  2. Step 2: Convert to fraction form
    206.51/309.77 = 69.54/x
  3. Step 3: Cross multiply
    206.51x = 309.77 × 69.54
  4. Step 4: Simplify right side
    206.51x = 21,541.20
  5. Step 5: Solve for x
    x = 21,541.20/206.51
  6. Step 6: Final answer
    x = 104.31

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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.