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Finding the Fourth Proportional to 300.54, 450.86 and 138.24

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Solution

The fourth proportional to 300.54, 450.86 and 138.24 is: 207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 450.86 = 138.24 : x
  2. Step 2: Convert to fraction form
    300.54/450.86 = 138.24/x
  3. Step 3: Cross multiply
    300.54x = 450.86 × 138.24
  4. Step 4: Simplify right side
    300.54x = 62,326.20
  5. Step 5: Solve for x
    x = 62,326.20/300.54
  6. Step 6: Final answer
    x = 207.38

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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.