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Finding the Fourth Proportional to 346.74, 520.06 and 141.31

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Solution

The fourth proportional to 346.74, 520.06 and 141.31 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.74 : 520.06 = 141.31 : x
  2. Step 2: Convert to fraction form
    346.74/520.06 = 141.31/x
  3. Step 3: Cross multiply
    346.74x = 520.06 × 141.31
  4. Step 4: Simplify right side
    346.74x = 73,487.08
  5. Step 5: Solve for x
    x = 73,487.08/346.74
  6. Step 6: Final answer
    x = 211.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.