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Finding the Fourth Proportional to 338.78, 507.80 and 119.32

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Solution

The fourth proportional to 338.78, 507.80 and 119.32 is: 178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 507.80 = 119.32 : x
  2. Step 2: Convert to fraction form
    338.78/507.80 = 119.32/x
  3. Step 3: Cross multiply
    338.78x = 507.80 × 119.32
  4. Step 4: Simplify right side
    338.78x = 60,587.56
  5. Step 5: Solve for x
    x = 60,587.56/338.78
  6. Step 6: Final answer
    x = 178.84

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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.