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Finding the Fourth Proportional to 288.84, 433.14 and 180.56

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Solution

The fourth proportional to 288.84, 433.14 and 180.56 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 433.14 = 180.56 : x
  2. Step 2: Convert to fraction form
    288.84/433.14 = 180.56/x
  3. Step 3: Cross multiply
    288.84x = 433.14 × 180.56
  4. Step 4: Simplify right side
    288.84x = 78,207.76
  5. Step 5: Solve for x
    x = 78,207.76/288.84
  6. Step 6: Final answer
    x = 270.76

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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.