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Finding the Fourth Proportional to 351.66, 527.06 and 206.94

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Solution

The fourth proportional to 351.66, 527.06 and 206.94 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.66 : 527.06 = 206.94 : x
  2. Step 2: Convert to fraction form
    351.66/527.06 = 206.94/x
  3. Step 3: Cross multiply
    351.66x = 527.06 × 206.94
  4. Step 4: Simplify right side
    351.66x = 109,069.80
  5. Step 5: Solve for x
    x = 109,069.80/351.66
  6. Step 6: Final answer
    x = 310.16

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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.