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Finding the Fourth Proportional to 446.31, 669.24 and 138.06

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Solution

The fourth proportional to 446.31, 669.24 and 138.06 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 669.24 = 138.06 : x
  2. Step 2: Convert to fraction form
    446.31/669.24 = 138.06/x
  3. Step 3: Cross multiply
    446.31x = 669.24 × 138.06
  4. Step 4: Simplify right side
    446.31x = 92,395.27
  5. Step 5: Solve for x
    x = 92,395.27/446.31
  6. Step 6: Final answer
    x = 207.02

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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.