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Finding the Fourth Proportional to 375.99, 563.70 and 190.77

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Solution

The fourth proportional to 375.99, 563.70 and 190.77 is: 286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.99 : 563.70 = 190.77 : x
  2. Step 2: Convert to fraction form
    375.99/563.70 = 190.77/x
  3. Step 3: Cross multiply
    375.99x = 563.70 × 190.77
  4. Step 4: Simplify right side
    375.99x = 107,537.05
  5. Step 5: Solve for x
    x = 107,537.05/375.99
  6. Step 6: Final answer
    x = 286.01

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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.