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Finding the Fourth Proportional to 346.47, 519.83 and 141.09

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Solution

The fourth proportional to 346.47, 519.83 and 141.09 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.47 : 519.83 = 141.09 : x
  2. Step 2: Convert to fraction form
    346.47/519.83 = 141.09/x
  3. Step 3: Cross multiply
    346.47x = 519.83 × 141.09
  4. Step 4: Simplify right side
    346.47x = 73,342.11
  5. Step 5: Solve for x
    x = 73,342.11/346.47
  6. Step 6: Final answer
    x = 211.68

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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.