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Finding the Fourth Proportional to 381.34, 526.35 and 224.01

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Solution

The fourth proportional to 381.34, 526.35 and 224.01 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 526.35 = 224.01 : x
  2. Step 2: Convert to fraction form
    381.34/526.35 = 224.01/x
  3. Step 3: Cross multiply
    381.34x = 526.35 × 224.01
  4. Step 4: Simplify right side
    381.34x = 117,905.03
  5. Step 5: Solve for x
    x = 117,905.03/381.34
  6. Step 6: Final answer
    x = 309.19

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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.