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Finding the Fourth Proportional to 565.24, 847.70 and 200.12

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Solution

The fourth proportional to 565.24, 847.70 and 200.12 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 847.70 = 200.12 : x
  2. Step 2: Convert to fraction form
    565.24/847.70 = 200.12/x
  3. Step 3: Cross multiply
    565.24x = 847.70 × 200.12
  4. Step 4: Simplify right side
    565.24x = 169,641.72
  5. Step 5: Solve for x
    x = 169,641.72/565.24
  6. Step 6: Final answer
    x = 300.12

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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.