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Finding the Fourth Proportional to 292.84, 403.93 and 174.73

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Solution

The fourth proportional to 292.84, 403.93 and 174.73 is: 241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 403.93 = 174.73 : x
  2. Step 2: Convert to fraction form
    292.84/403.93 = 174.73/x
  3. Step 3: Cross multiply
    292.84x = 403.93 × 174.73
  4. Step 4: Simplify right side
    292.84x = 70,578.69
  5. Step 5: Solve for x
    x = 70,578.69/292.84
  6. Step 6: Final answer
    x = 241.02

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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.