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Finding the Fourth Proportional to 397.30, 596.07 and 178.10

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Solution

The fourth proportional to 397.30, 596.07 and 178.10 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 596.07 = 178.10 : x
  2. Step 2: Convert to fraction form
    397.30/596.07 = 178.10/x
  3. Step 3: Cross multiply
    397.30x = 596.07 × 178.10
  4. Step 4: Simplify right side
    397.30x = 106,162.17
  5. Step 5: Solve for x
    x = 106,162.17/397.30
  6. Step 6: Final answer
    x = 267.21

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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.