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Finding the Fourth Proportional to 343.80, 514.62 and 227.98

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Solution

The fourth proportional to 343.80, 514.62 and 227.98 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 514.62 = 227.98 : x
  2. Step 2: Convert to fraction form
    343.80/514.62 = 227.98/x
  3. Step 3: Cross multiply
    343.80x = 514.62 × 227.98
  4. Step 4: Simplify right side
    343.80x = 117,323.07
  5. Step 5: Solve for x
    x = 117,323.07/343.80
  6. Step 6: Final answer
    x = 341.25

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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.