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Finding the Fourth Proportional to 395.35, 593.16 and 178.89

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Solution

The fourth proportional to 395.35, 593.16 and 178.89 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.35 : 593.16 = 178.89 : x
  2. Step 2: Convert to fraction form
    395.35/593.16 = 178.89/x
  3. Step 3: Cross multiply
    395.35x = 593.16 × 178.89
  4. Step 4: Simplify right side
    395.35x = 106,110.39
  5. Step 5: Solve for x
    x = 106,110.39/395.35
  6. Step 6: Final answer
    x = 268.40

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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.