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Finding the Fourth Proportional to 381.72, 526.66 and 224.29

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Solution

The fourth proportional to 381.72, 526.66 and 224.29 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.72 : 526.66 = 224.29 : x
  2. Step 2: Convert to fraction form
    381.72/526.66 = 224.29/x
  3. Step 3: Cross multiply
    381.72x = 526.66 × 224.29
  4. Step 4: Simplify right side
    381.72x = 118,126.24
  5. Step 5: Solve for x
    x = 118,126.24/381.72
  6. Step 6: Final answer
    x = 309.46

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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.