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Finding the Fourth Proportional to 446.59, 669.98 and 138.45

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Solution

The fourth proportional to 446.59, 669.98 and 138.45 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.59 : 669.98 = 138.45 : x
  2. Step 2: Convert to fraction form
    446.59/669.98 = 138.45/x
  3. Step 3: Cross multiply
    446.59x = 669.98 × 138.45
  4. Step 4: Simplify right side
    446.59x = 92,758.73
  5. Step 5: Solve for x
    x = 92,758.73/446.59
  6. Step 6: Final answer
    x = 207.70

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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.