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Finding the Fourth Proportional to 257.21, 386.02 and 133.89

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Solution

The fourth proportional to 257.21, 386.02 and 133.89 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 386.02 = 133.89 : x
  2. Step 2: Convert to fraction form
    257.21/386.02 = 133.89/x
  3. Step 3: Cross multiply
    257.21x = 386.02 × 133.89
  4. Step 4: Simplify right side
    257.21x = 51,682.94
  5. Step 5: Solve for x
    x = 51,682.94/257.21
  6. Step 6: Final answer
    x = 200.94

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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.