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Finding the Fourth Proportional to 388.18, 582.53 and 144.71

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Solution

The fourth proportional to 388.18, 582.53 and 144.71 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.18 : 582.53 = 144.71 : x
  2. Step 2: Convert to fraction form
    388.18/582.53 = 144.71/x
  3. Step 3: Cross multiply
    388.18x = 582.53 × 144.71
  4. Step 4: Simplify right side
    388.18x = 84,295.37
  5. Step 5: Solve for x
    x = 84,295.37/388.18
  6. Step 6: Final answer
    x = 217.16

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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.