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Finding the Fourth Proportional to 418.02, 627.06 and 144.12

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Solution

The fourth proportional to 418.02, 627.06 and 144.12 is: 216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 627.06 = 144.12 : x
  2. Step 2: Convert to fraction form
    418.02/627.06 = 144.12/x
  3. Step 3: Cross multiply
    418.02x = 627.06 × 144.12
  4. Step 4: Simplify right side
    418.02x = 90,371.89
  5. Step 5: Solve for x
    x = 90,371.89/418.02
  6. Step 6: Final answer
    x = 216.19

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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.