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Finding the Fourth Proportional to 563.98, 845.96 and 153.11

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Solution

The fourth proportional to 563.98, 845.96 and 153.11 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 845.96 = 153.11 : x
  2. Step 2: Convert to fraction form
    563.98/845.96 = 153.11/x
  3. Step 3: Cross multiply
    563.98x = 845.96 × 153.11
  4. Step 4: Simplify right side
    563.98x = 129,527.17
  5. Step 5: Solve for x
    x = 129,527.17/563.98
  6. Step 6: Final answer
    x = 229.67

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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.