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Finding the Fourth Proportional to 338.62, 507.90 and 146.20

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Solution

The fourth proportional to 338.62, 507.90 and 146.20 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.62 : 507.90 = 146.20 : x
  2. Step 2: Convert to fraction form
    338.62/507.90 = 146.20/x
  3. Step 3: Cross multiply
    338.62x = 507.90 × 146.20
  4. Step 4: Simplify right side
    338.62x = 74,254.98
  5. Step 5: Solve for x
    x = 74,254.98/338.62
  6. Step 6: Final answer
    x = 219.29

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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.