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Finding the Fourth Proportional to 388.84, 583.12 and 114.85

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Solution

The fourth proportional to 388.84, 583.12 and 114.85 is: 172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.84 : 583.12 = 114.85 : x
  2. Step 2: Convert to fraction form
    388.84/583.12 = 114.85/x
  3. Step 3: Cross multiply
    388.84x = 583.12 × 114.85
  4. Step 4: Simplify right side
    388.84x = 66,971.33
  5. Step 5: Solve for x
    x = 66,971.33/388.84
  6. Step 6: Final answer
    x = 172.23

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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.