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Finding the Fourth Proportional to 401.25, 602.00 and 144.75

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Solution

The fourth proportional to 401.25, 602.00 and 144.75 is: 217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 602.00 = 144.75 : x
  2. Step 2: Convert to fraction form
    401.25/602.00 = 144.75/x
  3. Step 3: Cross multiply
    401.25x = 602.00 × 144.75
  4. Step 4: Simplify right side
    401.25x = 87,138.78
  5. Step 5: Solve for x
    x = 87,138.78/401.25
  6. Step 6: Final answer
    x = 217.17

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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.