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Finding the Fourth Proportional to 177.53, 245.00 and 119.30

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Solution

The fourth proportional to 177.53, 245.00 and 119.30 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.53 : 245.00 = 119.30 : x
  2. Step 2: Convert to fraction form
    177.53/245.00 = 119.30/x
  3. Step 3: Cross multiply
    177.53x = 245.00 × 119.30
  4. Step 4: Simplify right side
    177.53x = 29,227.57
  5. Step 5: Solve for x
    x = 29,227.57/177.53
  6. Step 6: Final answer
    x = 164.64

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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.