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Finding the Fourth Proportional to 210.26, 290.22 and 144.92

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Solution

The fourth proportional to 210.26, 290.22 and 144.92 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.26 : 290.22 = 144.92 : x
  2. Step 2: Convert to fraction form
    210.26/290.22 = 144.92/x
  3. Step 3: Cross multiply
    210.26x = 290.22 × 144.92
  4. Step 4: Simplify right side
    210.26x = 42,058.68
  5. Step 5: Solve for x
    x = 42,058.68/210.26
  6. Step 6: Final answer
    x = 200.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.