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Finding the Fourth Proportional to 401.82, 602.65 and 113.25

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Solution

The fourth proportional to 401.82, 602.65 and 113.25 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 602.65 = 113.25 : x
  2. Step 2: Convert to fraction form
    401.82/602.65 = 113.25/x
  3. Step 3: Cross multiply
    401.82x = 602.65 × 113.25
  4. Step 4: Simplify right side
    401.82x = 68,250.11
  5. Step 5: Solve for x
    x = 68,250.11/401.82
  6. Step 6: Final answer
    x = 169.85

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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.