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Finding the Fourth Proportional to 289.23, 434.07 and 106.76

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Solution

The fourth proportional to 289.23, 434.07 and 106.76 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 434.07 = 106.76 : x
  2. Step 2: Convert to fraction form
    289.23/434.07 = 106.76/x
  3. Step 3: Cross multiply
    289.23x = 434.07 × 106.76
  4. Step 4: Simplify right side
    289.23x = 46,339.14
  5. Step 5: Solve for x
    x = 46,339.14/289.23
  6. Step 6: Final answer
    x = 160.22

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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.