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Finding the Fourth Proportional to 210.48, 290.50 and 161.26

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Solution

The fourth proportional to 210.48, 290.50 and 161.26 is: 222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.48 : 290.50 = 161.26 : x
  2. Step 2: Convert to fraction form
    210.48/290.50 = 161.26/x
  3. Step 3: Cross multiply
    210.48x = 290.50 × 161.26
  4. Step 4: Simplify right side
    210.48x = 46,846.03
  5. Step 5: Solve for x
    x = 46,846.03/210.48
  6. Step 6: Final answer
    x = 222.57

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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.