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Finding the Fourth Proportional to 346.92, 520.26 and 192.90

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Solution

The fourth proportional to 346.92, 520.26 and 192.90 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 520.26 = 192.90 : x
  2. Step 2: Convert to fraction form
    346.92/520.26 = 192.90/x
  3. Step 3: Cross multiply
    346.92x = 520.26 × 192.90
  4. Step 4: Simplify right side
    346.92x = 100,358.15
  5. Step 5: Solve for x
    x = 100,358.15/346.92
  6. Step 6: Final answer
    x = 289.28

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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.