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Finding the Fourth Proportional to 346.06, 518.79 and 150.91

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Solution

The fourth proportional to 346.06, 518.79 and 150.91 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.06 : 518.79 = 150.91 : x
  2. Step 2: Convert to fraction form
    346.06/518.79 = 150.91/x
  3. Step 3: Cross multiply
    346.06x = 518.79 × 150.91
  4. Step 4: Simplify right side
    346.06x = 78,287.25
  5. Step 5: Solve for x
    x = 78,287.25/346.06
  6. Step 6: Final answer
    x = 226.23

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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.