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Finding the Fourth Proportional to 289.91, 434.73 and 111.70

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Solution

The fourth proportional to 289.91, 434.73 and 111.70 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 434.73 = 111.70 : x
  2. Step 2: Convert to fraction form
    289.91/434.73 = 111.70/x
  3. Step 3: Cross multiply
    289.91x = 434.73 × 111.70
  4. Step 4: Simplify right side
    289.91x = 48,557.86
  5. Step 5: Solve for x
    x = 48,557.86/289.91
  6. Step 6: Final answer
    x = 167.49

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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.