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Finding the Fourth Proportional to 375.86, 563.49 and 192.60

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Solution

The fourth proportional to 375.86, 563.49 and 192.60 is: 288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 563.49 = 192.60 : x
  2. Step 2: Convert to fraction form
    375.86/563.49 = 192.60/x
  3. Step 3: Cross multiply
    375.86x = 563.49 × 192.60
  4. Step 4: Simplify right side
    375.86x = 108,528.17
  5. Step 5: Solve for x
    x = 108,528.17/375.86
  6. Step 6: Final answer
    x = 288.74

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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.