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Finding the Fourth Proportional to 446.35, 669.41 and 157.75

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Solution

The fourth proportional to 446.35, 669.41 and 157.75 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.35 : 669.41 = 157.75 : x
  2. Step 2: Convert to fraction form
    446.35/669.41 = 157.75/x
  3. Step 3: Cross multiply
    446.35x = 669.41 × 157.75
  4. Step 4: Simplify right side
    446.35x = 105,598.64
  5. Step 5: Solve for x
    x = 105,598.64/446.35
  6. Step 6: Final answer
    x = 236.58

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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.