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Finding the Fourth Proportional to 401.12, 601.14 and 208.34

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Solution

The fourth proportional to 401.12, 601.14 and 208.34 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.12 : 601.14 = 208.34 : x
  2. Step 2: Convert to fraction form
    401.12/601.14 = 208.34/x
  3. Step 3: Cross multiply
    401.12x = 601.14 × 208.34
  4. Step 4: Simplify right side
    401.12x = 125,241.51
  5. Step 5: Solve for x
    x = 125,241.51/401.12
  6. Step 6: Final answer
    x = 312.23

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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.