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Finding the Fourth Proportional to 176.89, 243.91 and 144.08

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Solution

The fourth proportional to 176.89, 243.91 and 144.08 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.89 : 243.91 = 144.08 : x
  2. Step 2: Convert to fraction form
    176.89/243.91 = 144.08/x
  3. Step 3: Cross multiply
    176.89x = 243.91 × 144.08
  4. Step 4: Simplify right side
    176.89x = 35,142.55
  5. Step 5: Solve for x
    x = 35,142.55/176.89
  6. Step 6: Final answer
    x = 198.67

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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.