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Finding the Fourth Proportional to 248.99, 343.32 and 202.22

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Solution

The fourth proportional to 248.99, 343.32 and 202.22 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.99 : 343.32 = 202.22 : x
  2. Step 2: Convert to fraction form
    248.99/343.32 = 202.22/x
  3. Step 3: Cross multiply
    248.99x = 343.32 × 202.22
  4. Step 4: Simplify right side
    248.99x = 69,426.17
  5. Step 5: Solve for x
    x = 69,426.17/248.99
  6. Step 6: Final answer
    x = 278.83

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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.