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Finding the Fourth Proportional to 400.53, 600.56 and 156.77

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Solution

The fourth proportional to 400.53, 600.56 and 156.77 is: 235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.53 : 600.56 = 156.77 : x
  2. Step 2: Convert to fraction form
    400.53/600.56 = 156.77/x
  3. Step 3: Cross multiply
    400.53x = 600.56 × 156.77
  4. Step 4: Simplify right side
    400.53x = 94,149.79
  5. Step 5: Solve for x
    x = 94,149.79/400.53
  6. Step 6: Final answer
    x = 235.06

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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.