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Finding the Fourth Proportional to 176.06, 243.26 and 144.95

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Solution

The fourth proportional to 176.06, 243.26 and 144.95 is: 200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 243.26 = 144.95 : x
  2. Step 2: Convert to fraction form
    176.06/243.26 = 144.95/x
  3. Step 3: Cross multiply
    176.06x = 243.26 × 144.95
  4. Step 4: Simplify right side
    176.06x = 35,260.54
  5. Step 5: Solve for x
    x = 35,260.54/176.06
  6. Step 6: Final answer
    x = 200.28

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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.