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Finding the Fourth Proportional to 338.18, 507.40 and 175.76

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Solution

The fourth proportional to 338.18, 507.40 and 175.76 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 507.40 = 175.76 : x
  2. Step 2: Convert to fraction form
    338.18/507.40 = 175.76/x
  3. Step 3: Cross multiply
    338.18x = 507.40 × 175.76
  4. Step 4: Simplify right side
    338.18x = 89,180.62
  5. Step 5: Solve for x
    x = 89,180.62/338.18
  6. Step 6: Final answer
    x = 263.71

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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.