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Finding the Fourth Proportional to 563.97, 845.98 and 153.12

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Solution

The fourth proportional to 563.97, 845.98 and 153.12 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 845.98 = 153.12 : x
  2. Step 2: Convert to fraction form
    563.97/845.98 = 153.12/x
  3. Step 3: Cross multiply
    563.97x = 845.98 × 153.12
  4. Step 4: Simplify right side
    563.97x = 129,536.07
  5. Step 5: Solve for x
    x = 129,536.07/563.97
  6. Step 6: Final answer
    x = 229.69

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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.