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Finding the Fourth Proportional to 337.96, 506.75 and 184.01

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Solution

The fourth proportional to 337.96, 506.75 and 184.01 is: 275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 506.75 = 184.01 : x
  2. Step 2: Convert to fraction form
    337.96/506.75 = 184.01/x
  3. Step 3: Cross multiply
    337.96x = 506.75 × 184.01
  4. Step 4: Simplify right side
    337.96x = 93,248.79
  5. Step 5: Solve for x
    x = 93,248.79/337.96
  6. Step 6: Final answer
    x = 275.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.