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Finding the Fourth Proportional to 416.57, 624.92 and 142.65

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Solution

The fourth proportional to 416.57, 624.92 and 142.65 is: 214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 624.92 = 142.65 : x
  2. Step 2: Convert to fraction form
    416.57/624.92 = 142.65/x
  3. Step 3: Cross multiply
    416.57x = 624.92 × 142.65
  4. Step 4: Simplify right side
    416.57x = 89,144.84
  5. Step 5: Solve for x
    x = 89,144.84/416.57
  6. Step 6: Final answer
    x = 214.00

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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.