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Finding the Fourth Proportional to 177.58, 245.10 and 119.44

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Solution

The fourth proportional to 177.58, 245.10 and 119.44 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 245.10 = 119.44 : x
  2. Step 2: Convert to fraction form
    177.58/245.10 = 119.44/x
  3. Step 3: Cross multiply
    177.58x = 245.10 × 119.44
  4. Step 4: Simplify right side
    177.58x = 29,274.74
  5. Step 5: Solve for x
    x = 29,274.74/177.58
  6. Step 6: Final answer
    x = 164.85

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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.