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Finding the Fourth Proportional to 176.22, 263.94 and 170.04

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Solution

The fourth proportional to 176.22, 263.94 and 170.04 is: 254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 263.94 = 170.04 : x
  2. Step 2: Convert to fraction form
    176.22/263.94 = 170.04/x
  3. Step 3: Cross multiply
    176.22x = 263.94 × 170.04
  4. Step 4: Simplify right side
    176.22x = 44,880.36
  5. Step 5: Solve for x
    x = 44,880.36/176.22
  6. Step 6: Final answer
    x = 254.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.