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Finding the Fourth Proportional to 418.39, 627.99 and 158.65

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Solution

The fourth proportional to 418.39, 627.99 and 158.65 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.39 : 627.99 = 158.65 : x
  2. Step 2: Convert to fraction form
    418.39/627.99 = 158.65/x
  3. Step 3: Cross multiply
    418.39x = 627.99 × 158.65
  4. Step 4: Simplify right side
    418.39x = 99,628.45
  5. Step 5: Solve for x
    x = 99,628.45/418.39
  6. Step 6: Final answer
    x = 238.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.