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Finding the Fourth Proportional to 416.16, 624.05 and 123.56

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Solution

The fourth proportional to 416.16, 624.05 and 123.56 is: 185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 624.05 = 123.56 : x
  2. Step 2: Convert to fraction form
    416.16/624.05 = 123.56/x
  3. Step 3: Cross multiply
    416.16x = 624.05 × 123.56
  4. Step 4: Simplify right side
    416.16x = 77,103.88
  5. Step 5: Solve for x
    x = 77,103.88/416.16
  6. Step 6: Final answer
    x = 185.27

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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.