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Finding the Fourth Proportional to 446.32, 669.51 and 157.78

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Solution

The fourth proportional to 446.32, 669.51 and 157.78 is: 236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 669.51 = 157.78 : x
  2. Step 2: Convert to fraction form
    446.32/669.51 = 157.78/x
  3. Step 3: Cross multiply
    446.32x = 669.51 × 157.78
  4. Step 4: Simplify right side
    446.32x = 105,635.29
  5. Step 5: Solve for x
    x = 105,635.29/446.32
  6. Step 6: Final answer
    x = 236.68

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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.