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Finding the Fourth Proportional to 400.55, 600.70 and 157.15

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Solution

The fourth proportional to 400.55, 600.70 and 157.15 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.55 : 600.70 = 157.15 : x
  2. Step 2: Convert to fraction form
    400.55/600.70 = 157.15/x
  3. Step 3: Cross multiply
    400.55x = 600.70 × 157.15
  4. Step 4: Simplify right side
    400.55x = 94,400.01
  5. Step 5: Solve for x
    x = 94,400.01/400.55
  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.