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Finding the Fourth Proportional to 296.73, 444.78 and 166.57

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Solution

The fourth proportional to 296.73, 444.78 and 166.57 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.73 : 444.78 = 166.57 : x
  2. Step 2: Convert to fraction form
    296.73/444.78 = 166.57/x
  3. Step 3: Cross multiply
    296.73x = 444.78 × 166.57
  4. Step 4: Simplify right side
    296.73x = 74,085.89
  5. Step 5: Solve for x
    x = 74,085.89/296.73
  6. Step 6: Final answer
    x = 249.67

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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.