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Finding the Fourth Proportional to 388.30, 535.86 and 222.53

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Solution

The fourth proportional to 388.30, 535.86 and 222.53 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.30 : 535.86 = 222.53 : x
  2. Step 2: Convert to fraction form
    388.30/535.86 = 222.53/x
  3. Step 3: Cross multiply
    388.30x = 535.86 × 222.53
  4. Step 4: Simplify right side
    388.30x = 119,244.37
  5. Step 5: Solve for x
    x = 119,244.37/388.30
  6. Step 6: Final answer
    x = 307.09

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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.