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Finding the Fourth Proportional to 289.86, 434.08 and 159.66

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Solution

The fourth proportional to 289.86, 434.08 and 159.66 is: 239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 434.08 = 159.66 : x
  2. Step 2: Convert to fraction form
    289.86/434.08 = 159.66/x
  3. Step 3: Cross multiply
    289.86x = 434.08 × 159.66
  4. Step 4: Simplify right side
    289.86x = 69,305.21
  5. Step 5: Solve for x
    x = 69,305.21/289.86
  6. Step 6: Final answer
    x = 239.10

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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.