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Finding the Fourth Proportional to 494.82, 742.14 and 206.10

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Solution

The fourth proportional to 494.82, 742.14 and 206.10 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 742.14 = 206.10 : x
  2. Step 2: Convert to fraction form
    494.82/742.14 = 206.10/x
  3. Step 3: Cross multiply
    494.82x = 742.14 × 206.10
  4. Step 4: Simplify right side
    494.82x = 152,955.05
  5. Step 5: Solve for x
    x = 152,955.05/494.82
  6. Step 6: Final answer
    x = 309.11

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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.