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Finding the Fourth Proportional to 300.64, 450.80 and 138.24

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Solution

The fourth proportional to 300.64, 450.80 and 138.24 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 450.80 = 138.24 : x
  2. Step 2: Convert to fraction form
    300.64/450.80 = 138.24/x
  3. Step 3: Cross multiply
    300.64x = 450.80 × 138.24
  4. Step 4: Simplify right side
    300.64x = 62,318.59
  5. Step 5: Solve for x
    x = 62,318.59/300.64
  6. Step 6: Final answer
    x = 207.29

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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.