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Finding the Fourth Proportional to 177.64, 245.46 and 170.44

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Solution

The fourth proportional to 177.64, 245.46 and 170.44 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 245.46 = 170.44 : x
  2. Step 2: Convert to fraction form
    177.64/245.46 = 170.44/x
  3. Step 3: Cross multiply
    177.64x = 245.46 × 170.44
  4. Step 4: Simplify right side
    177.64x = 41,836.20
  5. Step 5: Solve for x
    x = 41,836.20/177.64
  6. Step 6: Final answer
    x = 235.51

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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.