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Finding the Fourth Proportional to 418.07, 627.16 and 121.59

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Solution

The fourth proportional to 418.07, 627.16 and 121.59 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.07 : 627.16 = 121.59 : x
  2. Step 2: Convert to fraction form
    418.07/627.16 = 121.59/x
  3. Step 3: Cross multiply
    418.07x = 627.16 × 121.59
  4. Step 4: Simplify right side
    418.07x = 76,256.38
  5. Step 5: Solve for x
    x = 76,256.38/418.07
  6. Step 6: Final answer
    x = 182.40

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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.