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Finding the Fourth Proportional to 210.99, 290.98 and 164.37

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Solution

The fourth proportional to 210.99, 290.98 and 164.37 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.99 : 290.98 = 164.37 : x
  2. Step 2: Convert to fraction form
    210.99/290.98 = 164.37/x
  3. Step 3: Cross multiply
    210.99x = 290.98 × 164.37
  4. Step 4: Simplify right side
    210.99x = 47,827.56
  5. Step 5: Solve for x
    x = 47,827.56/210.99
  6. Step 6: Final answer
    x = 226.68

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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.