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Finding the Fourth Proportional to 264.24, 364.95 and 223.14

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Solution

The fourth proportional to 264.24, 364.95 and 223.14 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 364.95 = 223.14 : x
  2. Step 2: Convert to fraction form
    264.24/364.95 = 223.14/x
  3. Step 3: Cross multiply
    264.24x = 364.95 × 223.14
  4. Step 4: Simplify right side
    264.24x = 81,434.94
  5. Step 5: Solve for x
    x = 81,434.94/264.24
  6. Step 6: Final answer
    x = 308.19

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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.