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Finding the Fourth Proportional to 301.38, 416.08 and 206.99

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Solution

The fourth proportional to 301.38, 416.08 and 206.99 is: 285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 416.08 = 206.99 : x
  2. Step 2: Convert to fraction form
    301.38/416.08 = 206.99/x
  3. Step 3: Cross multiply
    301.38x = 416.08 × 206.99
  4. Step 4: Simplify right side
    301.38x = 86,125.28
  5. Step 5: Solve for x
    x = 86,125.28/301.38
  6. Step 6: Final answer
    x = 285.77

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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.