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Finding the Fourth Proportional to 388.09, 582.19 and 114.14

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Solution

The fourth proportional to 388.09, 582.19 and 114.14 is: 171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.09 : 582.19 = 114.14 : x
  2. Step 2: Convert to fraction form
    388.09/582.19 = 114.14/x
  3. Step 3: Cross multiply
    388.09x = 582.19 × 114.14
  4. Step 4: Simplify right side
    388.09x = 66,452.34
  5. Step 5: Solve for x
    x = 66,452.34/388.09
  6. Step 6: Final answer
    x = 171.23

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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.