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Finding the Fourth Proportional to 289.38, 433.82 and 106.74

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Solution

The fourth proportional to 289.38, 433.82 and 106.74 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 433.82 = 106.74 : x
  2. Step 2: Convert to fraction form
    289.38/433.82 = 106.74/x
  3. Step 3: Cross multiply
    289.38x = 433.82 × 106.74
  4. Step 4: Simplify right side
    289.38x = 46,306.21
  5. Step 5: Solve for x
    x = 46,306.21/289.38
  6. Step 6: Final answer
    x = 160.02

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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.