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Finding the Fourth Proportional to 367.67, 507.35 and 201.89

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Solution

The fourth proportional to 367.67, 507.35 and 201.89 is: 278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 507.35 = 201.89 : x
  2. Step 2: Convert to fraction form
    367.67/507.35 = 201.89/x
  3. Step 3: Cross multiply
    367.67x = 507.35 × 201.89
  4. Step 4: Simplify right side
    367.67x = 102,425.35
  5. Step 5: Solve for x
    x = 102,425.35/367.67
  6. Step 6: Final answer
    x = 278.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.