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Finding the Fourth Proportional to 381.68, 526.78 and 224.34

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Solution

The fourth proportional to 381.68, 526.78 and 224.34 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 526.78 = 224.34 : x
  2. Step 2: Convert to fraction form
    381.68/526.78 = 224.34/x
  3. Step 3: Cross multiply
    381.68x = 526.78 × 224.34
  4. Step 4: Simplify right side
    381.68x = 118,177.83
  5. Step 5: Solve for x
    x = 118,177.83/381.68
  6. Step 6: Final answer
    x = 309.63

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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.