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Finding the Fourth Proportional to 346.28, 518.94 and 192.28

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Solution

The fourth proportional to 346.28, 518.94 and 192.28 is: 288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.28 : 518.94 = 192.28 : x
  2. Step 2: Convert to fraction form
    346.28/518.94 = 192.28/x
  3. Step 3: Cross multiply
    346.28x = 518.94 × 192.28
  4. Step 4: Simplify right side
    346.28x = 99,781.78
  5. Step 5: Solve for x
    x = 99,781.78/346.28
  6. Step 6: Final answer
    x = 288.15

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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.