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Finding the Fourth Proportional to 334.98, 462.32 and 202.22

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Solution

The fourth proportional to 334.98, 462.32 and 202.22 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 462.32 = 202.22 : x
  2. Step 2: Convert to fraction form
    334.98/462.32 = 202.22/x
  3. Step 3: Cross multiply
    334.98x = 462.32 × 202.22
  4. Step 4: Simplify right side
    334.98x = 93,487.03
  5. Step 5: Solve for x
    x = 93,487.03/334.98
  6. Step 6: Final answer
    x = 279.08

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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.