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Finding the Fourth Proportional to 400.78, 600.81 and 157.47

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Solution

The fourth proportional to 400.78, 600.81 and 157.47 is: 236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 600.81 = 157.47 : x
  2. Step 2: Convert to fraction form
    400.78/600.81 = 157.47/x
  3. Step 3: Cross multiply
    400.78x = 600.81 × 157.47
  4. Step 4: Simplify right side
    400.78x = 94,609.55
  5. Step 5: Solve for x
    x = 94,609.55/400.78
  6. Step 6: Final answer
    x = 236.06

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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.