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Finding the Fourth Proportional to 452.18, 678.38 and 159.72

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Solution

The fourth proportional to 452.18, 678.38 and 159.72 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 678.38 = 159.72 : x
  2. Step 2: Convert to fraction form
    452.18/678.38 = 159.72/x
  3. Step 3: Cross multiply
    452.18x = 678.38 × 159.72
  4. Step 4: Simplify right side
    452.18x = 108,350.06
  5. Step 5: Solve for x
    x = 108,350.06/452.18
  6. Step 6: Final answer
    x = 239.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.