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Finding the Fourth Proportional to 435.45, 653.32 and 161.56

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Solution

The fourth proportional to 435.45, 653.32 and 161.56 is: 242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.45 : 653.32 = 161.56 : x
  2. Step 2: Convert to fraction form
    435.45/653.32 = 161.56/x
  3. Step 3: Cross multiply
    435.45x = 653.32 × 161.56
  4. Step 4: Simplify right side
    435.45x = 105,549.57
  5. Step 5: Solve for x
    x = 105,549.57/435.45
  6. Step 6: Final answer
    x = 242.39

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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.