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Finding the Fourth Proportional to 289.45, 433.70 and 181.01

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Solution

The fourth proportional to 289.45, 433.70 and 181.01 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.45 : 433.70 = 181.01 : x
  2. Step 2: Convert to fraction form
    289.45/433.70 = 181.01/x
  3. Step 3: Cross multiply
    289.45x = 433.70 × 181.01
  4. Step 4: Simplify right side
    289.45x = 78,504.04
  5. Step 5: Solve for x
    x = 78,504.04/289.45
  6. Step 6: Final answer
    x = 271.22

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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.