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Finding the Fourth Proportional to 388.08, 535.36 and 222.23

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Solution

The fourth proportional to 388.08, 535.36 and 222.23 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 535.36 = 222.23 : x
  2. Step 2: Convert to fraction form
    388.08/535.36 = 222.23/x
  3. Step 3: Cross multiply
    388.08x = 535.36 × 222.23
  4. Step 4: Simplify right side
    388.08x = 118,973.50
  5. Step 5: Solve for x
    x = 118,973.50/388.08
  6. Step 6: Final answer
    x = 306.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.