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Finding the Fourth Proportional to 333.22, 459.70 and 202.21

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Solution

The fourth proportional to 333.22, 459.70 and 202.21 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 459.70 = 202.21 : x
  2. Step 2: Convert to fraction form
    333.22/459.70 = 202.21/x
  3. Step 3: Cross multiply
    333.22x = 459.70 × 202.21
  4. Step 4: Simplify right side
    333.22x = 92,955.94
  5. Step 5: Solve for x
    x = 92,955.94/333.22
  6. Step 6: Final answer
    x = 278.96

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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.