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Finding the Fourth Proportional to 452.26, 678.41 and 144.13

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Solution

The fourth proportional to 452.26, 678.41 and 144.13 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.26 : 678.41 = 144.13 : x
  2. Step 2: Convert to fraction form
    452.26/678.41 = 144.13/x
  3. Step 3: Cross multiply
    452.26x = 678.41 × 144.13
  4. Step 4: Simplify right side
    452.26x = 97,778.51
  5. Step 5: Solve for x
    x = 97,778.51/452.26
  6. Step 6: Final answer
    x = 216.20

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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.