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Finding the Fourth Proportional to 381.37, 526.23 and 223.99

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Solution

The fourth proportional to 381.37, 526.23 and 223.99 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.37 : 526.23 = 223.99 : x
  2. Step 2: Convert to fraction form
    381.37/526.23 = 223.99/x
  3. Step 3: Cross multiply
    381.37x = 526.23 × 223.99
  4. Step 4: Simplify right side
    381.37x = 117,870.26
  5. Step 5: Solve for x
    x = 117,870.26/381.37
  6. Step 6: Final answer
    x = 309.07

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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.