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Finding the Fourth Proportional to 289.66, 434.16 and 159.56

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Solution

The fourth proportional to 289.66, 434.16 and 159.56 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.66 : 434.16 = 159.56 : x
  2. Step 2: Convert to fraction form
    289.66/434.16 = 159.56/x
  3. Step 3: Cross multiply
    289.66x = 434.16 × 159.56
  4. Step 4: Simplify right side
    289.66x = 69,274.57
  5. Step 5: Solve for x
    x = 69,274.57/289.66
  6. Step 6: Final answer
    x = 239.16

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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.