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Finding the Fourth Proportional to 297.35, 446.00 and 200.02

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Solution

The fourth proportional to 297.35, 446.00 and 200.02 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.35 : 446.00 = 200.02 : x
  2. Step 2: Convert to fraction form
    297.35/446.00 = 200.02/x
  3. Step 3: Cross multiply
    297.35x = 446.00 × 200.02
  4. Step 4: Simplify right side
    297.35x = 89,208.63
  5. Step 5: Solve for x
    x = 89,208.63/297.35
  6. Step 6: Final answer
    x = 300.01

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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.