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Finding the Fourth Proportional to 333.10, 459.70 and 222.38

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Solution

The fourth proportional to 333.10, 459.70 and 222.38 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 459.70 = 222.38 : x
  2. Step 2: Convert to fraction form
    333.10/459.70 = 222.38/x
  3. Step 3: Cross multiply
    333.10x = 459.70 × 222.38
  4. Step 4: Simplify right side
    333.10x = 102,228.09
  5. Step 5: Solve for x
    x = 102,228.09/333.10
  6. Step 6: Final answer
    x = 306.90

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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.