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Finding the Fourth Proportional to 174.76, 262.06 and 78.50

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Solution

The fourth proportional to 174.76, 262.06 and 78.50 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.76 : 262.06 = 78.50 : x
  2. Step 2: Convert to fraction form
    174.76/262.06 = 78.50/x
  3. Step 3: Cross multiply
    174.76x = 262.06 × 78.50
  4. Step 4: Simplify right side
    174.76x = 20,571.71
  5. Step 5: Solve for x
    x = 20,571.71/174.76
  6. Step 6: Final answer
    x = 117.71

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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.