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Finding the Fourth Proportional to 416, 624.30 and 159.50

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Solution

The fourth proportional to 416, 624.30 and 159.50 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 624.30 = 159.50 : x
  2. Step 2: Convert to fraction form
    416/624.30 = 159.50/x
  3. Step 3: Cross multiply
    416x = 624.30 × 159.50
  4. Step 4: Simplify right side
    416x = 99,575.85
  5. Step 5: Solve for x
    x = 99,575.85/416
  6. Step 6: Final answer
    x = 239.37

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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.