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Finding the Fourth Proportional to 346.89, 520.49 and 192.80

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Solution

The fourth proportional to 346.89, 520.49 and 192.80 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.89 : 520.49 = 192.80 : x
  2. Step 2: Convert to fraction form
    346.89/520.49 = 192.80/x
  3. Step 3: Cross multiply
    346.89x = 520.49 × 192.80
  4. Step 4: Simplify right side
    346.89x = 100,352.26
  5. Step 5: Solve for x
    x = 100,352.26/346.89
  6. Step 6: Final answer
    x = 289.29

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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.