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Finding the Fourth Proportional to 397.54, 596.51 and 178.23

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Solution

The fourth proportional to 397.54, 596.51 and 178.23 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.54 : 596.51 = 178.23 : x
  2. Step 2: Convert to fraction form
    397.54/596.51 = 178.23/x
  3. Step 3: Cross multiply
    397.54x = 596.51 × 178.23
  4. Step 4: Simplify right side
    397.54x = 106,315.98
  5. Step 5: Solve for x
    x = 106,315.98/397.54
  6. Step 6: Final answer
    x = 267.43

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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.