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Finding the Fourth Proportional to 446.56, 669.86 and 158

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Solution

The fourth proportional to 446.56, 669.86 and 158 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 669.86 = 158 : x
  2. Step 2: Convert to fraction form
    446.56/669.86 = 158/x
  3. Step 3: Cross multiply
    446.56x = 669.86 × 158
  4. Step 4: Simplify right side
    446.56x = 105,837.88
  5. Step 5: Solve for x
    x = 105,837.88/446.56
  6. Step 6: Final answer
    x = 237.01

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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.