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Finding the Fourth Proportional to 452.21, 678.38 and 143.97

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Solution

The fourth proportional to 452.21, 678.38 and 143.97 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.21 : 678.38 = 143.97 : x
  2. Step 2: Convert to fraction form
    452.21/678.38 = 143.97/x
  3. Step 3: Cross multiply
    452.21x = 678.38 × 143.97
  4. Step 4: Simplify right side
    452.21x = 97,666.73
  5. Step 5: Solve for x
    x = 97,666.73/452.21
  6. Step 6: Final answer
    x = 215.98

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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.