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Finding the Fourth Proportional to 375.18, 563.01 and 202.14

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Solution

The fourth proportional to 375.18, 563.01 and 202.14 is: 303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.18 : 563.01 = 202.14 : x
  2. Step 2: Convert to fraction form
    375.18/563.01 = 202.14/x
  3. Step 3: Cross multiply
    375.18x = 563.01 × 202.14
  4. Step 4: Simplify right side
    375.18x = 113,806.84
  5. Step 5: Solve for x
    x = 113,806.84/375.18
  6. Step 6: Final answer
    x = 303.34

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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.