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Finding the Fourth Proportional to 452.54, 678.96 and 160.05

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Solution

The fourth proportional to 452.54, 678.96 and 160.05 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.54 : 678.96 = 160.05 : x
  2. Step 2: Convert to fraction form
    452.54/678.96 = 160.05/x
  3. Step 3: Cross multiply
    452.54x = 678.96 × 160.05
  4. Step 4: Simplify right side
    452.54x = 108,667.55
  5. Step 5: Solve for x
    x = 108,667.55/452.54
  6. Step 6: Final answer
    x = 240.13

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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.