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Finding the Fourth Proportional to 338.10, 507.21 and 155.37

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Solution

The fourth proportional to 338.10, 507.21 and 155.37 is: 233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 507.21 = 155.37 : x
  2. Step 2: Convert to fraction form
    338.10/507.21 = 155.37/x
  3. Step 3: Cross multiply
    338.10x = 507.21 × 155.37
  4. Step 4: Simplify right side
    338.10x = 78,805.22
  5. Step 5: Solve for x
    x = 78,805.22/338.10
  6. Step 6: Final answer
    x = 233.08

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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.