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Finding the Fourth Proportional to 288, 432.09 and 159.84

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Solution

The fourth proportional to 288, 432.09 and 159.84 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 432.09 = 159.84 : x
  2. Step 2: Convert to fraction form
    288/432.09 = 159.84/x
  3. Step 3: Cross multiply
    288x = 432.09 × 159.84
  4. Step 4: Simplify right side
    288x = 69,065.27
  5. Step 5: Solve for x
    x = 69,065.27/288
  6. Step 6: Final answer
    x = 239.81

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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.