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Finding the Fourth Proportional to 289.47, 433.95 and 113.76

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Solution

The fourth proportional to 289.47, 433.95 and 113.76 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 433.95 = 113.76 : x
  2. Step 2: Convert to fraction form
    289.47/433.95 = 113.76/x
  3. Step 3: Cross multiply
    289.47x = 433.95 × 113.76
  4. Step 4: Simplify right side
    289.47x = 49,366.15
  5. Step 5: Solve for x
    x = 49,366.15/289.47
  6. Step 6: Final answer
    x = 170.54

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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.