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Finding the Fourth Proportional to 296.62, 444.96 and 134.44

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Solution

The fourth proportional to 296.62, 444.96 and 134.44 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.62 : 444.96 = 134.44 : x
  2. Step 2: Convert to fraction form
    296.62/444.96 = 134.44/x
  3. Step 3: Cross multiply
    296.62x = 444.96 × 134.44
  4. Step 4: Simplify right side
    296.62x = 59,820.42
  5. Step 5: Solve for x
    x = 59,820.42/296.62
  6. Step 6: Final answer
    x = 201.67

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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.