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Finding the Fourth Proportional to 435.56, 653.31 and 161.57

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Solution

The fourth proportional to 435.56, 653.31 and 161.57 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 653.31 = 161.57 : x
  2. Step 2: Convert to fraction form
    435.56/653.31 = 161.57/x
  3. Step 3: Cross multiply
    435.56x = 653.31 × 161.57
  4. Step 4: Simplify right side
    435.56x = 105,555.30
  5. Step 5: Solve for x
    x = 105,555.30/435.56
  6. Step 6: Final answer
    x = 242.34

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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.