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Finding the Fourth Proportional to 289.48, 433.68 and 181.48

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Solution

The fourth proportional to 289.48, 433.68 and 181.48 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 433.68 = 181.48 : x
  2. Step 2: Convert to fraction form
    289.48/433.68 = 181.48/x
  3. Step 3: Cross multiply
    289.48x = 433.68 × 181.48
  4. Step 4: Simplify right side
    289.48x = 78,704.25
  5. Step 5: Solve for x
    x = 78,704.25/289.48
  6. Step 6: Final answer
    x = 271.88

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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.