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Finding the Fourth Proportional to 400.24, 600.04 and 156.72

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Solution

The fourth proportional to 400.24, 600.04 and 156.72 is: 234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.24 : 600.04 = 156.72 : x
  2. Step 2: Convert to fraction form
    400.24/600.04 = 156.72/x
  3. Step 3: Cross multiply
    400.24x = 600.04 × 156.72
  4. Step 4: Simplify right side
    400.24x = 94,038.27
  5. Step 5: Solve for x
    x = 94,038.27/400.24
  6. Step 6: Final answer
    x = 234.95

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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.