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Finding the Fourth Proportional to 288.98, 433.20 and 179.36

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Solution

The fourth proportional to 288.98, 433.20 and 179.36 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 433.20 = 179.36 : x
  2. Step 2: Convert to fraction form
    288.98/433.20 = 179.36/x
  3. Step 3: Cross multiply
    288.98x = 433.20 × 179.36
  4. Step 4: Simplify right side
    288.98x = 77,698.75
  5. Step 5: Solve for x
    x = 77,698.75/288.98
  6. Step 6: Final answer
    x = 268.87

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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.