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Finding the Fourth Proportional to 310.90, 429.18 and 206.14

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Solution

The fourth proportional to 310.90, 429.18 and 206.14 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.90 : 429.18 = 206.14 : x
  2. Step 2: Convert to fraction form
    310.90/429.18 = 206.14/x
  3. Step 3: Cross multiply
    310.90x = 429.18 × 206.14
  4. Step 4: Simplify right side
    310.90x = 88,471.17
  5. Step 5: Solve for x
    x = 88,471.17/310.90
  6. Step 6: Final answer
    x = 284.56

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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.