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Finding the Fourth Proportional to 388.82, 583.21 and 114.91

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Solution

The fourth proportional to 388.82, 583.21 and 114.91 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.82 : 583.21 = 114.91 : x
  2. Step 2: Convert to fraction form
    388.82/583.21 = 114.91/x
  3. Step 3: Cross multiply
    388.82x = 583.21 × 114.91
  4. Step 4: Simplify right side
    388.82x = 67,016.66
  5. Step 5: Solve for x
    x = 67,016.66/388.82
  6. Step 6: Final answer
    x = 172.36

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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.