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Finding the Fourth Proportional to 289.93, 434.48 and 159.77

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Solution

The fourth proportional to 289.93, 434.48 and 159.77 is: 239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.93 : 434.48 = 159.77 : x
  2. Step 2: Convert to fraction form
    289.93/434.48 = 159.77/x
  3. Step 3: Cross multiply
    289.93x = 434.48 × 159.77
  4. Step 4: Simplify right side
    289.93x = 69,414.70
  5. Step 5: Solve for x
    x = 69,414.70/289.93
  6. Step 6: Final answer
    x = 239.42

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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.