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Finding the Fourth Proportional to 371.84, 513.18 and 222.51

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Solution

The fourth proportional to 371.84, 513.18 and 222.51 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.84 : 513.18 = 222.51 : x
  2. Step 2: Convert to fraction form
    371.84/513.18 = 222.51/x
  3. Step 3: Cross multiply
    371.84x = 513.18 × 222.51
  4. Step 4: Simplify right side
    371.84x = 114,185.12
  5. Step 5: Solve for x
    x = 114,185.12/371.84
  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.