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Finding the Fourth Proportional to 400.15, 600.26 and 156.67

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Solution

The fourth proportional to 400.15, 600.26 and 156.67 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.15 : 600.26 = 156.67 : x
  2. Step 2: Convert to fraction form
    400.15/600.26 = 156.67/x
  3. Step 3: Cross multiply
    400.15x = 600.26 × 156.67
  4. Step 4: Simplify right side
    400.15x = 94,042.73
  5. Step 5: Solve for x
    x = 94,042.73/400.15
  6. Step 6: Final answer
    x = 235.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.