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Finding the Fourth Proportional to 332.05, 497.55 and 222.25

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Solution

The fourth proportional to 332.05, 497.55 and 222.25 is: 333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.05 : 497.55 = 222.25 : x
  2. Step 2: Convert to fraction form
    332.05/497.55 = 222.25/x
  3. Step 3: Cross multiply
    332.05x = 497.55 × 222.25
  4. Step 4: Simplify right side
    332.05x = 110,580.49
  5. Step 5: Solve for x
    x = 110,580.49/332.05
  6. Step 6: Final answer
    x = 333.02

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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.