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Finding the Fourth Proportional to 177.71, 245.30 and 119.49

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Solution

The fourth proportional to 177.71, 245.30 and 119.49 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 245.30 = 119.49 : x
  2. Step 2: Convert to fraction form
    177.71/245.30 = 119.49/x
  3. Step 3: Cross multiply
    177.71x = 245.30 × 119.49
  4. Step 4: Simplify right side
    177.71x = 29,310.30
  5. Step 5: Solve for x
    x = 29,310.30/177.71
  6. Step 6: Final answer
    x = 164.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.