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Finding the Fourth Proportional to 378.30, 521.82 and 223.02

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Solution

The fourth proportional to 378.30, 521.82 and 223.02 is: 307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.30 : 521.82 = 223.02 : x
  2. Step 2: Convert to fraction form
    378.30/521.82 = 223.02/x
  3. Step 3: Cross multiply
    378.30x = 521.82 × 223.02
  4. Step 4: Simplify right side
    378.30x = 116,376.30
  5. Step 5: Solve for x
    x = 116,376.30/378.30
  6. Step 6: Final answer
    x = 307.63

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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.