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Finding the Fourth Proportional to 446.74, 669.96 and 158.12

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Solution

The fourth proportional to 446.74, 669.96 and 158.12 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.74 : 669.96 = 158.12 : x
  2. Step 2: Convert to fraction form
    446.74/669.96 = 158.12/x
  3. Step 3: Cross multiply
    446.74x = 669.96 × 158.12
  4. Step 4: Simplify right side
    446.74x = 105,934.08
  5. Step 5: Solve for x
    x = 105,934.08/446.74
  6. Step 6: Final answer
    x = 237.13

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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.