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Finding the Fourth Proportional to 174.94, 262.71 and 102.94

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Solution

The fourth proportional to 174.94, 262.71 and 102.94 is: 154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.94 : 262.71 = 102.94 : x
  2. Step 2: Convert to fraction form
    174.94/262.71 = 102.94/x
  3. Step 3: Cross multiply
    174.94x = 262.71 × 102.94
  4. Step 4: Simplify right side
    174.94x = 27,042.71
  5. Step 5: Solve for x
    x = 27,042.71/174.94
  6. Step 6: Final answer
    x = 154.58

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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.