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Finding the Fourth Proportional to 370.30, 511.11 and 223.03

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Solution

The fourth proportional to 370.30, 511.11 and 223.03 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.30 : 511.11 = 223.03 : x
  2. Step 2: Convert to fraction form
    370.30/511.11 = 223.03/x
  3. Step 3: Cross multiply
    370.30x = 511.11 × 223.03
  4. Step 4: Simplify right side
    370.30x = 113,992.86
  5. Step 5: Solve for x
    x = 113,992.86/370.30
  6. Step 6: Final answer
    x = 307.84

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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.