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Finding the Fourth Proportional to 292.78, 404.01 and 174.74

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Solution

The fourth proportional to 292.78, 404.01 and 174.74 is: 241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 404.01 = 174.74 : x
  2. Step 2: Convert to fraction form
    292.78/404.01 = 174.74/x
  3. Step 3: Cross multiply
    292.78x = 404.01 × 174.74
  4. Step 4: Simplify right side
    292.78x = 70,597.72
  5. Step 5: Solve for x
    x = 70,597.72/292.78
  6. Step 6: Final answer
    x = 241.13

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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.