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Finding the Fourth Proportional to 180.74, 270.89 and 137.07

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Solution

The fourth proportional to 180.74, 270.89 and 137.07 is: 205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 270.89 = 137.07 : x
  2. Step 2: Convert to fraction form
    180.74/270.89 = 137.07/x
  3. Step 3: Cross multiply
    180.74x = 270.89 × 137.07
  4. Step 4: Simplify right side
    180.74x = 37,130.89
  5. Step 5: Solve for x
    x = 37,130.89/180.74
  6. Step 6: Final answer
    x = 205.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.