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Finding the Fourth Proportional to 337.12, 505.64 and 154.46

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Solution

The fourth proportional to 337.12, 505.64 and 154.46 is: 231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 505.64 = 154.46 : x
  2. Step 2: Convert to fraction form
    337.12/505.64 = 154.46/x
  3. Step 3: Cross multiply
    337.12x = 505.64 × 154.46
  4. Step 4: Simplify right side
    337.12x = 78,102.80
  5. Step 5: Solve for x
    x = 78,102.80/337.12
  6. Step 6: Final answer
    x = 231.68

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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.