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Finding the Fourth Proportional to 289.86, 434.97 and 135.71

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Solution

The fourth proportional to 289.86, 434.97 and 135.71 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 434.97 = 135.71 : x
  2. Step 2: Convert to fraction form
    289.86/434.97 = 135.71/x
  3. Step 3: Cross multiply
    289.86x = 434.97 × 135.71
  4. Step 4: Simplify right side
    289.86x = 59,029.78
  5. Step 5: Solve for x
    x = 59,029.78/289.86
  6. Step 6: Final answer
    x = 203.65

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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.