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Finding the Fourth Proportional to 400.42, 600.71 and 156.94

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Solution

The fourth proportional to 400.42, 600.71 and 156.94 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.42 : 600.71 = 156.94 : x
  2. Step 2: Convert to fraction form
    400.42/600.71 = 156.94/x
  3. Step 3: Cross multiply
    400.42x = 600.71 × 156.94
  4. Step 4: Simplify right side
    400.42x = 94,273.14
  5. Step 5: Solve for x
    x = 94,273.14/400.42
  6. Step 6: Final answer
    x = 235.44

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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.