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Finding the Fourth Proportional to 337.84, 506.76 and 94.38

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Solution

The fourth proportional to 337.84, 506.76 and 94.38 is: 141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 506.76 = 94.38 : x
  2. Step 2: Convert to fraction form
    337.84/506.76 = 94.38/x
  3. Step 3: Cross multiply
    337.84x = 506.76 × 94.38
  4. Step 4: Simplify right side
    337.84x = 47,828.01
  5. Step 5: Solve for x
    x = 47,828.01/337.84
  6. Step 6: Final answer
    x = 141.57

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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.