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Finding the Fourth Proportional to 416.56, 624.57 and 138.88

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Solution

The fourth proportional to 416.56, 624.57 and 138.88 is: 208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 624.57 = 138.88 : x
  2. Step 2: Convert to fraction form
    416.56/624.57 = 138.88/x
  3. Step 3: Cross multiply
    416.56x = 624.57 × 138.88
  4. Step 4: Simplify right side
    416.56x = 86,740.28
  5. Step 5: Solve for x
    x = 86,740.28/416.56
  6. Step 6: Final answer
    x = 208.23

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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.