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Finding the Fourth Proportional to 338.17, 507.23 and 155.51

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Solution

The fourth proportional to 338.17, 507.23 and 155.51 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.17 : 507.23 = 155.51 : x
  2. Step 2: Convert to fraction form
    338.17/507.23 = 155.51/x
  3. Step 3: Cross multiply
    338.17x = 507.23 × 155.51
  4. Step 4: Simplify right side
    338.17x = 78,878.56
  5. Step 5: Solve for x
    x = 78,878.56/338.17
  6. Step 6: Final answer
    x = 233.25

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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.