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Finding the Fourth Proportional to 401.69, 602.25 and 167.42

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Solution

The fourth proportional to 401.69, 602.25 and 167.42 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 602.25 = 167.42 : x
  2. Step 2: Convert to fraction form
    401.69/602.25 = 167.42/x
  3. Step 3: Cross multiply
    401.69x = 602.25 × 167.42
  4. Step 4: Simplify right side
    401.69x = 100,828.70
  5. Step 5: Solve for x
    x = 100,828.70/401.69
  6. Step 6: Final answer
    x = 251.01

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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.