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Finding the Fourth Proportional to 289.40, 434.26 and 106.77

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Solution

The fourth proportional to 289.40, 434.26 and 106.77 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 434.26 = 106.77 : x
  2. Step 2: Convert to fraction form
    289.40/434.26 = 106.77/x
  3. Step 3: Cross multiply
    289.40x = 434.26 × 106.77
  4. Step 4: Simplify right side
    289.40x = 46,365.94
  5. Step 5: Solve for x
    x = 46,365.94/289.40
  6. Step 6: Final answer
    x = 160.21

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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.