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Finding the Fourth Proportional to 381.51, 526.41 and 224.10

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Solution

The fourth proportional to 381.51, 526.41 and 224.10 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 526.41 = 224.10 : x
  2. Step 2: Convert to fraction form
    381.51/526.41 = 224.10/x
  3. Step 3: Cross multiply
    381.51x = 526.41 × 224.10
  4. Step 4: Simplify right side
    381.51x = 117,968.48
  5. Step 5: Solve for x
    x = 117,968.48/381.51
  6. Step 6: Final answer
    x = 309.21

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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.