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Finding the Fourth Proportional to 565.46, 848.25 and 200.17

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Solution

The fourth proportional to 565.46, 848.25 and 200.17 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 848.25 = 200.17 : x
  2. Step 2: Convert to fraction form
    565.46/848.25 = 200.17/x
  3. Step 3: Cross multiply
    565.46x = 848.25 × 200.17
  4. Step 4: Simplify right side
    565.46x = 169,794.20
  5. Step 5: Solve for x
    x = 169,794.20/565.46
  6. Step 6: Final answer
    x = 300.28

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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.