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Finding the Fourth Proportional to 210.99, 290.70 and 161.70

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Solution

The fourth proportional to 210.99, 290.70 and 161.70 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.99 : 290.70 = 161.70 : x
  2. Step 2: Convert to fraction form
    210.99/290.70 = 161.70/x
  3. Step 3: Cross multiply
    210.99x = 290.70 × 161.70
  4. Step 4: Simplify right side
    210.99x = 47,006.19
  5. Step 5: Solve for x
    x = 47,006.19/210.99
  6. Step 6: Final answer
    x = 222.79

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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.