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Finding the Fourth Proportional to 397.59, 596.34 and 178.14

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Solution

The fourth proportional to 397.59, 596.34 and 178.14 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 596.34 = 178.14 : x
  2. Step 2: Convert to fraction form
    397.59/596.34 = 178.14/x
  3. Step 3: Cross multiply
    397.59x = 596.34 × 178.14
  4. Step 4: Simplify right side
    397.59x = 106,232.01
  5. Step 5: Solve for x
    x = 106,232.01/397.59
  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.