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Finding the Fourth Proportional to 388.51, 582.48 and 196

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Solution

The fourth proportional to 388.51, 582.48 and 196 is: 293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.51 : 582.48 = 196 : x
  2. Step 2: Convert to fraction form
    388.51/582.48 = 196/x
  3. Step 3: Cross multiply
    388.51x = 582.48 × 196
  4. Step 4: Simplify right side
    388.51x = 114,166.08
  5. Step 5: Solve for x
    x = 114,166.08/388.51
  6. Step 6: Final answer
    x = 293.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.