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Finding the Fourth Proportional to 288.59, 433.17 and 167.09

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Solution

The fourth proportional to 288.59, 433.17 and 167.09 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 433.17 = 167.09 : x
  2. Step 2: Convert to fraction form
    288.59/433.17 = 167.09/x
  3. Step 3: Cross multiply
    288.59x = 433.17 × 167.09
  4. Step 4: Simplify right side
    288.59x = 72,376.21
  5. Step 5: Solve for x
    x = 72,376.21/288.59
  6. Step 6: Final answer
    x = 250.80

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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.