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Finding the Fourth Proportional to 289.81, 434.19 and 159.61

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Solution

The fourth proportional to 289.81, 434.19 and 159.61 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.81 : 434.19 = 159.61 : x
  2. Step 2: Convert to fraction form
    289.81/434.19 = 159.61/x
  3. Step 3: Cross multiply
    289.81x = 434.19 × 159.61
  4. Step 4: Simplify right side
    289.81x = 69,301.07
  5. Step 5: Solve for x
    x = 69,301.07/289.81
  6. Step 6: Final answer
    x = 239.13

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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.