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Finding the Fourth Proportional to 370.80, 511.70 and 223.51

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Solution

The fourth proportional to 370.80, 511.70 and 223.51 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 511.70 = 223.51 : x
  2. Step 2: Convert to fraction form
    370.80/511.70 = 223.51/x
  3. Step 3: Cross multiply
    370.80x = 511.70 × 223.51
  4. Step 4: Simplify right side
    370.80x = 114,371.15
  5. Step 5: Solve for x
    x = 114,371.15/370.80
  6. Step 6: Final answer
    x = 308.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.