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Finding the Fourth Proportional to 333.02, 459.45 and 200.24

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Solution

The fourth proportional to 333.02, 459.45 and 200.24 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 459.45 = 200.24 : x
  2. Step 2: Convert to fraction form
    333.02/459.45 = 200.24/x
  3. Step 3: Cross multiply
    333.02x = 459.45 × 200.24
  4. Step 4: Simplify right side
    333.02x = 92,000.27
  5. Step 5: Solve for x
    x = 92,000.27/333.02
  6. Step 6: Final answer
    x = 276.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.