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Finding the Fourth Proportional to 289.78, 434.67 and 107.16

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Solution

The fourth proportional to 289.78, 434.67 and 107.16 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 434.67 = 107.16 : x
  2. Step 2: Convert to fraction form
    289.78/434.67 = 107.16/x
  3. Step 3: Cross multiply
    289.78x = 434.67 × 107.16
  4. Step 4: Simplify right side
    289.78x = 46,579.24
  5. Step 5: Solve for x
    x = 46,579.24/289.78
  6. Step 6: Final answer
    x = 160.74

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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.