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Finding the Fourth Proportional to 452.57, 678.78 and 164.00

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Solution

The fourth proportional to 452.57, 678.78 and 164.00 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.57 : 678.78 = 164.00 : x
  2. Step 2: Convert to fraction form
    452.57/678.78 = 164.00/x
  3. Step 3: Cross multiply
    452.57x = 678.78 × 164.00
  4. Step 4: Simplify right side
    452.57x = 111,321.62
  5. Step 5: Solve for x
    x = 111,321.62/452.57
  6. Step 6: Final answer
    x = 245.98

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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.