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Finding the Fourth Proportional to 288.68, 432.33 and 206.15

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Solution

The fourth proportional to 288.68, 432.33 and 206.15 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 432.33 = 206.15 : x
  2. Step 2: Convert to fraction form
    288.68/432.33 = 206.15/x
  3. Step 3: Cross multiply
    288.68x = 432.33 × 206.15
  4. Step 4: Simplify right side
    288.68x = 89,122.67
  5. Step 5: Solve for x
    x = 89,122.67/288.68
  6. Step 6: Final answer
    x = 308.73

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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.