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Finding the Fourth Proportional to 333.16, 459.64 and 202.12

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Solution

The fourth proportional to 333.16, 459.64 and 202.12 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.16 : 459.64 = 202.12 : x
  2. Step 2: Convert to fraction form
    333.16/459.64 = 202.12/x
  3. Step 3: Cross multiply
    333.16x = 459.64 × 202.12
  4. Step 4: Simplify right side
    333.16x = 92,902.44
  5. Step 5: Solve for x
    x = 92,902.44/333.16
  6. Step 6: Final answer
    x = 278.85

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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.