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Finding the Fourth Proportional to 289.04, 433.08 and 167.36

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Solution

The fourth proportional to 289.04, 433.08 and 167.36 is: 250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 433.08 = 167.36 : x
  2. Step 2: Convert to fraction form
    289.04/433.08 = 167.36/x
  3. Step 3: Cross multiply
    289.04x = 433.08 × 167.36
  4. Step 4: Simplify right side
    289.04x = 72,480.27
  5. Step 5: Solve for x
    x = 72,480.27/289.04
  6. Step 6: Final answer
    x = 250.76

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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.