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Finding the Fourth Proportional to 288, 431.52 and 180

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Solution

The fourth proportional to 288, 431.52 and 180 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 431.52 = 180 : x
  2. Step 2: Convert to fraction form
    288/431.52 = 180/x
  3. Step 3: Cross multiply
    288x = 431.52 × 180
  4. Step 4: Simplify right side
    288x = 77,673.60
  5. Step 5: Solve for x
    x = 77,673.60/288
  6. Step 6: Final answer
    x = 269.70

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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.