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Finding the Fourth Proportional to 298.42, 411.81 and 174.07

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Solution

The fourth proportional to 298.42, 411.81 and 174.07 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 411.81 = 174.07 : x
  2. Step 2: Convert to fraction form
    298.42/411.81 = 174.07/x
  3. Step 3: Cross multiply
    298.42x = 411.81 × 174.07
  4. Step 4: Simplify right side
    298.42x = 71,683.77
  5. Step 5: Solve for x
    x = 71,683.77/298.42
  6. Step 6: Final answer
    x = 240.21

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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.