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Finding the Fourth Proportional to 388.30, 582.46 and 182.97

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Solution

The fourth proportional to 388.30, 582.46 and 182.97 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.30 : 582.46 = 182.97 : x
  2. Step 2: Convert to fraction form
    388.30/582.46 = 182.97/x
  3. Step 3: Cross multiply
    388.30x = 582.46 × 182.97
  4. Step 4: Simplify right side
    388.30x = 106,569.79
  5. Step 5: Solve for x
    x = 106,569.79/388.30
  6. Step 6: Final answer
    x = 274.45

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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.