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Finding the Fourth Proportional to 401.11, 601.40 and 167.00

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Solution

The fourth proportional to 401.11, 601.40 and 167.00 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.11 : 601.40 = 167.00 : x
  2. Step 2: Convert to fraction form
    401.11/601.40 = 167.00/x
  3. Step 3: Cross multiply
    401.11x = 601.40 × 167.00
  4. Step 4: Simplify right side
    401.11x = 100,436.63
  5. Step 5: Solve for x
    x = 100,436.63/401.11
  6. Step 6: Final answer
    x = 250.40

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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.