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Finding the Fourth Proportional to 176.88, 243.48 and 147.44

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Solution

The fourth proportional to 176.88, 243.48 and 147.44 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 243.48 = 147.44 : x
  2. Step 2: Convert to fraction form
    176.88/243.48 = 147.44/x
  3. Step 3: Cross multiply
    176.88x = 243.48 × 147.44
  4. Step 4: Simplify right side
    176.88x = 35,898.69
  5. Step 5: Solve for x
    x = 35,898.69/176.88
  6. Step 6: Final answer
    x = 202.96

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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.