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Finding the Fourth Proportional to 446.39, 669.68 and 153.88

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Solution

The fourth proportional to 446.39, 669.68 and 153.88 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.39 : 669.68 = 153.88 : x
  2. Step 2: Convert to fraction form
    446.39/669.68 = 153.88/x
  3. Step 3: Cross multiply
    446.39x = 669.68 × 153.88
  4. Step 4: Simplify right side
    446.39x = 103,050.36
  5. Step 5: Solve for x
    x = 103,050.36/446.39
  6. Step 6: Final answer
    x = 230.85

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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.