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Finding the Fourth Proportional to 341.80, 511.90 and 212.20

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Solution

The fourth proportional to 341.80, 511.90 and 212.20 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 511.90 = 212.20 : x
  2. Step 2: Convert to fraction form
    341.80/511.90 = 212.20/x
  3. Step 3: Cross multiply
    341.80x = 511.90 × 212.20
  4. Step 4: Simplify right side
    341.80x = 108,625.18
  5. Step 5: Solve for x
    x = 108,625.18/341.80
  6. Step 6: Final answer
    x = 317.80

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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.