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Finding the Fourth Proportional to 289.27, 433.59 and 167.59

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Solution

The fourth proportional to 289.27, 433.59 and 167.59 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 433.59 = 167.59 : x
  2. Step 2: Convert to fraction form
    289.27/433.59 = 167.59/x
  3. Step 3: Cross multiply
    289.27x = 433.59 × 167.59
  4. Step 4: Simplify right side
    289.27x = 72,665.35
  5. Step 5: Solve for x
    x = 72,665.35/289.27
  6. Step 6: Final answer
    x = 251.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.