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Finding the Fourth Proportional to 164.06, 245.77 and 131.63

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Solution

The fourth proportional to 164.06, 245.77 and 131.63 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 245.77 = 131.63 : x
  2. Step 2: Convert to fraction form
    164.06/245.77 = 131.63/x
  3. Step 3: Cross multiply
    164.06x = 245.77 × 131.63
  4. Step 4: Simplify right side
    164.06x = 32,349.15
  5. Step 5: Solve for x
    x = 32,349.15/164.06
  6. Step 6: Final answer
    x = 197.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.