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Finding the Fourth Proportional to 287.17, 396.66 and 222.01

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Solution

The fourth proportional to 287.17, 396.66 and 222.01 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.17 : 396.66 = 222.01 : x
  2. Step 2: Convert to fraction form
    287.17/396.66 = 222.01/x
  3. Step 3: Cross multiply
    287.17x = 396.66 × 222.01
  4. Step 4: Simplify right side
    287.17x = 88,062.49
  5. Step 5: Solve for x
    x = 88,062.49/287.17
  6. Step 6: Final answer
    x = 306.66

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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.