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Finding the Fourth Proportional to 288.86, 433.14 and 151.88

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Solution

The fourth proportional to 288.86, 433.14 and 151.88 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 433.14 = 151.88 : x
  2. Step 2: Convert to fraction form
    288.86/433.14 = 151.88/x
  3. Step 3: Cross multiply
    288.86x = 433.14 × 151.88
  4. Step 4: Simplify right side
    288.86x = 65,785.30
  5. Step 5: Solve for x
    x = 65,785.30/288.86
  6. Step 6: Final answer
    x = 227.74

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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.