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Finding the Fourth Proportional to 375.60, 563.67 and 192.96

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Solution

The fourth proportional to 375.60, 563.67 and 192.96 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 563.67 = 192.96 : x
  2. Step 2: Convert to fraction form
    375.60/563.67 = 192.96/x
  3. Step 3: Cross multiply
    375.60x = 563.67 × 192.96
  4. Step 4: Simplify right side
    375.60x = 108,765.76
  5. Step 5: Solve for x
    x = 108,765.76/375.60
  6. Step 6: Final answer
    x = 289.58

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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.