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Finding the Fourth Proportional to 288.25, 432.38 and 180.75

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Solution

The fourth proportional to 288.25, 432.38 and 180.75 is: 271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 432.38 = 180.75 : x
  2. Step 2: Convert to fraction form
    288.25/432.38 = 180.75/x
  3. Step 3: Cross multiply
    288.25x = 432.38 × 180.75
  4. Step 4: Simplify right side
    288.25x = 78,152.69
  5. Step 5: Solve for x
    x = 78,152.69/288.25
  6. Step 6: Final answer
    x = 271.13

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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.