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Finding the Fourth Proportional to 296.79, 444.84 and 166.85

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Solution

The fourth proportional to 296.79, 444.84 and 166.85 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.79 : 444.84 = 166.85 : x
  2. Step 2: Convert to fraction form
    296.79/444.84 = 166.85/x
  3. Step 3: Cross multiply
    296.79x = 444.84 × 166.85
  4. Step 4: Simplify right side
    296.79x = 74,219.33
  5. Step 5: Solve for x
    x = 74,219.33/296.79
  6. Step 6: Final answer
    x = 250.07

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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.