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Finding the Fourth Proportional to 346.30, 519.46 and 112.06

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Solution

The fourth proportional to 346.30, 519.46 and 112.06 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 519.46 = 112.06 : x
  2. Step 2: Convert to fraction form
    346.30/519.46 = 112.06/x
  3. Step 3: Cross multiply
    346.30x = 519.46 × 112.06
  4. Step 4: Simplify right side
    346.30x = 58,211.06
  5. Step 5: Solve for x
    x = 58,211.06/346.30
  6. Step 6: Final answer
    x = 168.10

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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.