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Finding the Fourth Proportional to 337.96, 506.93 and 184.86

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Solution

The fourth proportional to 337.96, 506.93 and 184.86 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 506.93 = 184.86 : x
  2. Step 2: Convert to fraction form
    337.96/506.93 = 184.86/x
  3. Step 3: Cross multiply
    337.96x = 506.93 × 184.86
  4. Step 4: Simplify right side
    337.96x = 93,709.77
  5. Step 5: Solve for x
    x = 93,709.77/337.96
  6. Step 6: Final answer
    x = 277.28

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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.