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Finding the Fourth Proportional to 180.90, 271.15 and 140.47

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Solution

The fourth proportional to 180.90, 271.15 and 140.47 is: 210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 271.15 = 140.47 : x
  2. Step 2: Convert to fraction form
    180.90/271.15 = 140.47/x
  3. Step 3: Cross multiply
    180.90x = 271.15 × 140.47
  4. Step 4: Simplify right side
    180.90x = 38,087.41
  5. Step 5: Solve for x
    x = 38,087.41/180.90
  6. Step 6: Final answer
    x = 210.54

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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.