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Finding the Fourth Proportional to 633.02, 949.95 and 222.16

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Solution

The fourth proportional to 633.02, 949.95 and 222.16 is: 333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.02 : 949.95 = 222.16 : x
  2. Step 2: Convert to fraction form
    633.02/949.95 = 222.16/x
  3. Step 3: Cross multiply
    633.02x = 949.95 × 222.16
  4. Step 4: Simplify right side
    633.02x = 211,040.92
  5. Step 5: Solve for x
    x = 211,040.92/633.02
  6. Step 6: Final answer
    x = 333.39

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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.