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Finding the Fourth Proportional to 176.94, 243.62 and 144.30

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Solution

The fourth proportional to 176.94, 243.62 and 144.30 is: 198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 243.62 = 144.30 : x
  2. Step 2: Convert to fraction form
    176.94/243.62 = 144.30/x
  3. Step 3: Cross multiply
    176.94x = 243.62 × 144.30
  4. Step 4: Simplify right side
    176.94x = 35,154.37
  5. Step 5: Solve for x
    x = 35,154.37/176.94
  6. Step 6: Final answer
    x = 198.68

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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.