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Finding the Fourth Proportional to 193.84, 292.12 and 174.60

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Solution

The fourth proportional to 193.84, 292.12 and 174.60 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 292.12 = 174.60 : x
  2. Step 2: Convert to fraction form
    193.84/292.12 = 174.60/x
  3. Step 3: Cross multiply
    193.84x = 292.12 × 174.60
  4. Step 4: Simplify right side
    193.84x = 51,004.15
  5. Step 5: Solve for x
    x = 51,004.15/193.84
  6. Step 6: Final answer
    x = 263.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.