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Finding the Fourth Proportional to 388.03, 582.04 and 114.11

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Solution

The fourth proportional to 388.03, 582.04 and 114.11 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.03 : 582.04 = 114.11 : x
  2. Step 2: Convert to fraction form
    388.03/582.04 = 114.11/x
  3. Step 3: Cross multiply
    388.03x = 582.04 × 114.11
  4. Step 4: Simplify right side
    388.03x = 66,415.36
  5. Step 5: Solve for x
    x = 66,415.36/388.03
  6. Step 6: Final answer
    x = 171.16

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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.