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Finding the Fourth Proportional to 174.92, 240.76 and 154.07

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Solution

The fourth proportional to 174.92, 240.76 and 154.07 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 240.76 = 154.07 : x
  2. Step 2: Convert to fraction form
    174.92/240.76 = 154.07/x
  3. Step 3: Cross multiply
    174.92x = 240.76 × 154.07
  4. Step 4: Simplify right side
    174.92x = 37,093.89
  5. Step 5: Solve for x
    x = 37,093.89/174.92
  6. Step 6: Final answer
    x = 212.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.