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Finding the Fourth Proportional to 298.42, 411.91 and 174.11

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Solution

The fourth proportional to 298.42, 411.91 and 174.11 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 411.91 = 174.11 : x
  2. Step 2: Convert to fraction form
    298.42/411.91 = 174.11/x
  3. Step 3: Cross multiply
    298.42x = 411.91 × 174.11
  4. Step 4: Simplify right side
    298.42x = 71,715.16
  5. Step 5: Solve for x
    x = 71,715.16/298.42
  6. Step 6: Final answer
    x = 240.32

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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.