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Finding the Fourth Proportional to 206.24, 309.36 and 52.16

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Solution

The fourth proportional to 206.24, 309.36 and 52.16 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.36 = 52.16 : x
  2. Step 2: Convert to fraction form
    206.24/309.36 = 52.16/x
  3. Step 3: Cross multiply
    206.24x = 309.36 × 52.16
  4. Step 4: Simplify right side
    206.24x = 16,137.69
  5. Step 5: Solve for x
    x = 16,137.69/206.24
  6. Step 6: Final answer
    x = 78.25

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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.