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Finding the Fourth Proportional to 401.64, 601.34 and 206.22

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Solution

The fourth proportional to 401.64, 601.34 and 206.22 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 601.34 = 206.22 : x
  2. Step 2: Convert to fraction form
    401.64/601.34 = 206.22/x
  3. Step 3: Cross multiply
    401.64x = 601.34 × 206.22
  4. Step 4: Simplify right side
    401.64x = 124,008.33
  5. Step 5: Solve for x
    x = 124,008.33/401.64
  6. Step 6: Final answer
    x = 308.75

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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.