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Finding the Fourth Proportional to 397.56, 596.10 and 178.20

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Solution

The fourth proportional to 397.56, 596.10 and 178.20 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.10 = 178.20 : x
  2. Step 2: Convert to fraction form
    397.56/596.10 = 178.20/x
  3. Step 3: Cross multiply
    397.56x = 596.10 × 178.20
  4. Step 4: Simplify right side
    397.56x = 106,225.02
  5. Step 5: Solve for x
    x = 106,225.02/397.56
  6. Step 6: Final answer
    x = 267.19

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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.