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Finding the Fourth Proportional to 565.23, 847.85 and 200.06

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Solution

The fourth proportional to 565.23, 847.85 and 200.06 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.23 : 847.85 = 200.06 : x
  2. Step 2: Convert to fraction form
    565.23/847.85 = 200.06/x
  3. Step 3: Cross multiply
    565.23x = 847.85 × 200.06
  4. Step 4: Simplify right side
    565.23x = 169,615.63
  5. Step 5: Solve for x
    x = 169,615.63/565.23
  6. Step 6: Final answer
    x = 300.08

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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.