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Finding the Fourth Proportional to 400.69, 600.87 and 157.16

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Solution

The fourth proportional to 400.69, 600.87 and 157.16 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 600.87 = 157.16 : x
  2. Step 2: Convert to fraction form
    400.69/600.87 = 157.16/x
  3. Step 3: Cross multiply
    400.69x = 600.87 × 157.16
  4. Step 4: Simplify right side
    400.69x = 94,432.73
  5. Step 5: Solve for x
    x = 94,432.73/400.69
  6. Step 6: Final answer
    x = 235.68

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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.