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Finding the Fourth Proportional to 401.24, 602.12 and 157.78

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Solution

The fourth proportional to 401.24, 602.12 and 157.78 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.24 : 602.12 = 157.78 : x
  2. Step 2: Convert to fraction form
    401.24/602.12 = 157.78/x
  3. Step 3: Cross multiply
    401.24x = 602.12 × 157.78
  4. Step 4: Simplify right side
    401.24x = 95,003.64
  5. Step 5: Solve for x
    x = 95,003.64/401.24
  6. Step 6: Final answer
    x = 236.77

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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.