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Finding the Fourth Proportional to 346.35, 519.94 and 141.08

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Solution

The fourth proportional to 346.35, 519.94 and 141.08 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.35 : 519.94 = 141.08 : x
  2. Step 2: Convert to fraction form
    346.35/519.94 = 141.08/x
  3. Step 3: Cross multiply
    346.35x = 519.94 × 141.08
  4. Step 4: Simplify right side
    346.35x = 73,350.71
  5. Step 5: Solve for x
    x = 73,350.71/346.35
  6. Step 6: Final answer
    x = 211.78

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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.