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Finding the Fourth Proportional to 174.84, 263.76 and 169.20

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Solution

The fourth proportional to 174.84, 263.76 and 169.20 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 263.76 = 169.20 : x
  2. Step 2: Convert to fraction form
    174.84/263.76 = 169.20/x
  3. Step 3: Cross multiply
    174.84x = 263.76 × 169.20
  4. Step 4: Simplify right side
    174.84x = 44,628.19
  5. Step 5: Solve for x
    x = 44,628.19/174.84
  6. Step 6: Final answer
    x = 255.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.