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Finding the Fourth Proportional to 300.60, 450.38 and 138.06

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Solution

The fourth proportional to 300.60, 450.38 and 138.06 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 450.38 = 138.06 : x
  2. Step 2: Convert to fraction form
    300.60/450.38 = 138.06/x
  3. Step 3: Cross multiply
    300.60x = 450.38 × 138.06
  4. Step 4: Simplify right side
    300.60x = 62,178.77
  5. Step 5: Solve for x
    x = 62,178.77/300.60
  6. Step 6: Final answer
    x = 206.85

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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.