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Finding the Fourth Proportional to 446.68, 669.99 and 138.55

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Solution

The fourth proportional to 446.68, 669.99 and 138.55 is: 207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 669.99 = 138.55 : x
  2. Step 2: Convert to fraction form
    446.68/669.99 = 138.55/x
  3. Step 3: Cross multiply
    446.68x = 669.99 × 138.55
  4. Step 4: Simplify right side
    446.68x = 92,827.11
  5. Step 5: Solve for x
    x = 92,827.11/446.68
  6. Step 6: Final answer
    x = 207.82

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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.