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Finding the Fourth Proportional to 388.14, 535.70 and 222.32

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Solution

The fourth proportional to 388.14, 535.70 and 222.32 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.14 : 535.70 = 222.32 : x
  2. Step 2: Convert to fraction form
    388.14/535.70 = 222.32/x
  3. Step 3: Cross multiply
    388.14x = 535.70 × 222.32
  4. Step 4: Simplify right side
    388.14x = 119,095.71
  5. Step 5: Solve for x
    x = 119,095.71/388.14
  6. Step 6: Final answer
    x = 306.84

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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.