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Finding the Fourth Proportional to 177.68, 245.26 and 134.06

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Solution

The fourth proportional to 177.68, 245.26 and 134.06 is: 185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.26 = 134.06 : x
  2. Step 2: Convert to fraction form
    177.68/245.26 = 134.06/x
  3. Step 3: Cross multiply
    177.68x = 245.26 × 134.06
  4. Step 4: Simplify right side
    177.68x = 32,879.56
  5. Step 5: Solve for x
    x = 32,879.56/177.68
  6. Step 6: Final answer
    x = 185.05

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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.