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Finding the Fourth Proportional to 346.70, 520.27 and 141.27

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Solution

The fourth proportional to 346.70, 520.27 and 141.27 is: 211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 520.27 = 141.27 : x
  2. Step 2: Convert to fraction form
    346.70/520.27 = 141.27/x
  3. Step 3: Cross multiply
    346.70x = 520.27 × 141.27
  4. Step 4: Simplify right side
    346.70x = 73,498.54
  5. Step 5: Solve for x
    x = 73,498.54/346.70
  6. Step 6: Final answer
    x = 211.99

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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.