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Finding the Fourth Proportional to 334.02, 500.61 and 151.38

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Solution

The fourth proportional to 334.02, 500.61 and 151.38 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.02 : 500.61 = 151.38 : x
  2. Step 2: Convert to fraction form
    334.02/500.61 = 151.38/x
  3. Step 3: Cross multiply
    334.02x = 500.61 × 151.38
  4. Step 4: Simplify right side
    334.02x = 75,782.34
  5. Step 5: Solve for x
    x = 75,782.34/334.02
  6. Step 6: Final answer
    x = 226.88

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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.