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Finding the Fourth Proportional to 416.31, 624.09 and 159.99

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Solution

The fourth proportional to 416.31, 624.09 and 159.99 is: 239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 624.09 = 159.99 : x
  2. Step 2: Convert to fraction form
    416.31/624.09 = 159.99/x
  3. Step 3: Cross multiply
    416.31x = 624.09 × 159.99
  4. Step 4: Simplify right side
    416.31x = 99,848.16
  5. Step 5: Solve for x
    x = 99,848.16/416.31
  6. Step 6: Final answer
    x = 239.84

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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.