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Finding the Fourth Proportional to 288.68, 433.38 and 185.60

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Solution

The fourth proportional to 288.68, 433.38 and 185.60 is: 278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 433.38 = 185.60 : x
  2. Step 2: Convert to fraction form
    288.68/433.38 = 185.60/x
  3. Step 3: Cross multiply
    288.68x = 433.38 × 185.60
  4. Step 4: Simplify right side
    288.68x = 80,435.33
  5. Step 5: Solve for x
    x = 80,435.33/288.68
  6. Step 6: Final answer
    x = 278.63

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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.