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Finding the Fourth Proportional to 565.38, 848.09 and 200.19

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Solution

The fourth proportional to 565.38, 848.09 and 200.19 is: 300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 848.09 = 200.19 : x
  2. Step 2: Convert to fraction form
    565.38/848.09 = 200.19/x
  3. Step 3: Cross multiply
    565.38x = 848.09 × 200.19
  4. Step 4: Simplify right side
    565.38x = 169,778.14
  5. Step 5: Solve for x
    x = 169,778.14/565.38
  6. Step 6: Final answer
    x = 300.29

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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.