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Finding the Fourth Proportional to 341.98, 513.21 and 133.77

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Solution

The fourth proportional to 341.98, 513.21 and 133.77 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.98 : 513.21 = 133.77 : x
  2. Step 2: Convert to fraction form
    341.98/513.21 = 133.77/x
  3. Step 3: Cross multiply
    341.98x = 513.21 × 133.77
  4. Step 4: Simplify right side
    341.98x = 68,654.53
  5. Step 5: Solve for x
    x = 68,654.53/341.98
  6. Step 6: Final answer
    x = 200.76

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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.