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Finding the Fourth Proportional to 380.12, 524.57 and 222.66

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Solution

The fourth proportional to 380.12, 524.57 and 222.66 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 524.57 = 222.66 : x
  2. Step 2: Convert to fraction form
    380.12/524.57 = 222.66/x
  3. Step 3: Cross multiply
    380.12x = 524.57 × 222.66
  4. Step 4: Simplify right side
    380.12x = 116,799.64
  5. Step 5: Solve for x
    x = 116,799.64/380.12
  6. Step 6: Final answer
    x = 307.27

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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.