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Finding the Fourth Proportional to 174.72, 242.30 and 172.56

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Solution

The fourth proportional to 174.72, 242.30 and 172.56 is: 239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.72 : 242.30 = 172.56 : x
  2. Step 2: Convert to fraction form
    174.72/242.30 = 172.56/x
  3. Step 3: Cross multiply
    174.72x = 242.30 × 172.56
  4. Step 4: Simplify right side
    174.72x = 41,811.29
  5. Step 5: Solve for x
    x = 41,811.29/174.72
  6. Step 6: Final answer
    x = 239.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.