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Finding the Fourth Proportional to 446.31, 669.69 and 157.77

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Solution

The fourth proportional to 446.31, 669.69 and 157.77 is: 236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 669.69 = 157.77 : x
  2. Step 2: Convert to fraction form
    446.31/669.69 = 157.77/x
  3. Step 3: Cross multiply
    446.31x = 669.69 × 157.77
  4. Step 4: Simplify right side
    446.31x = 105,656.99
  5. Step 5: Solve for x
    x = 105,656.99/446.31
  6. Step 6: Final answer
    x = 236.73

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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.