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Finding the Fourth Proportional to 337.96, 507.86 and 175.78

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Solution

The fourth proportional to 337.96, 507.86 and 175.78 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 507.86 = 175.78 : x
  2. Step 2: Convert to fraction form
    337.96/507.86 = 175.78/x
  3. Step 3: Cross multiply
    337.96x = 507.86 × 175.78
  4. Step 4: Simplify right side
    337.96x = 89,268.21
  5. Step 5: Solve for x
    x = 89,268.21/337.96
  6. Step 6: Final answer
    x = 264.14

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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.