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Finding the Fourth Proportional to 416.17, 624.25 and 159.67

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Solution

The fourth proportional to 416.17, 624.25 and 159.67 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 624.25 = 159.67 : x
  2. Step 2: Convert to fraction form
    416.17/624.25 = 159.67/x
  3. Step 3: Cross multiply
    416.17x = 624.25 × 159.67
  4. Step 4: Simplify right side
    416.17x = 99,672.04
  5. Step 5: Solve for x
    x = 99,672.04/416.17
  6. Step 6: Final answer
    x = 239.50

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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.