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Finding the Fourth Proportional to 210.36, 289.68 and 166.56

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Solution

The fourth proportional to 210.36, 289.68 and 166.56 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 289.68 = 166.56 : x
  2. Step 2: Convert to fraction form
    210.36/289.68 = 166.56/x
  3. Step 3: Cross multiply
    210.36x = 289.68 × 166.56
  4. Step 4: Simplify right side
    210.36x = 48,249.10
  5. Step 5: Solve for x
    x = 48,249.10/210.36
  6. Step 6: Final answer
    x = 229.36

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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.