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Finding the Fourth Proportional to 265.64, 367.44 and 224.84

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Solution

The fourth proportional to 265.64, 367.44 and 224.84 is: 311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 367.44 = 224.84 : x
  2. Step 2: Convert to fraction form
    265.64/367.44 = 224.84/x
  3. Step 3: Cross multiply
    265.64x = 367.44 × 224.84
  4. Step 4: Simplify right side
    265.64x = 82,615.21
  5. Step 5: Solve for x
    x = 82,615.21/265.64
  6. Step 6: Final answer
    x = 311.00

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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.