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Finding the Fourth Proportional to 446.34, 669.58 and 138.22

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Solution

The fourth proportional to 446.34, 669.58 and 138.22 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.34 : 669.58 = 138.22 : x
  2. Step 2: Convert to fraction form
    446.34/669.58 = 138.22/x
  3. Step 3: Cross multiply
    446.34x = 669.58 × 138.22
  4. Step 4: Simplify right side
    446.34x = 92,548.66
  5. Step 5: Solve for x
    x = 92,548.66/446.34
  6. Step 6: Final answer
    x = 207.35

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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.