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Finding the Fourth Proportional to 471.29, 707.06 and 142.22

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Solution

The fourth proportional to 471.29, 707.06 and 142.22 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 707.06 = 142.22 : x
  2. Step 2: Convert to fraction form
    471.29/707.06 = 142.22/x
  3. Step 3: Cross multiply
    471.29x = 707.06 × 142.22
  4. Step 4: Simplify right side
    471.29x = 100,558.07
  5. Step 5: Solve for x
    x = 100,558.07/471.29
  6. Step 6: Final answer
    x = 213.37

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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.