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Finding the Fourth Proportional to 400.35, 600.13 and 157.05

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Solution

The fourth proportional to 400.35, 600.13 and 157.05 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 600.13 = 157.05 : x
  2. Step 2: Convert to fraction form
    400.35/600.13 = 157.05/x
  3. Step 3: Cross multiply
    400.35x = 600.13 × 157.05
  4. Step 4: Simplify right side
    400.35x = 94,250.42
  5. Step 5: Solve for x
    x = 94,250.42/400.35
  6. Step 6: Final answer
    x = 235.42

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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.