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Finding the Fourth Proportional to 416.96, 625.34 and 143.06

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Solution

The fourth proportional to 416.96, 625.34 and 143.06 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 625.34 = 143.06 : x
  2. Step 2: Convert to fraction form
    416.96/625.34 = 143.06/x
  3. Step 3: Cross multiply
    416.96x = 625.34 × 143.06
  4. Step 4: Simplify right side
    416.96x = 89,461.14
  5. Step 5: Solve for x
    x = 89,461.14/416.96
  6. Step 6: Final answer
    x = 214.56

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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.