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Finding the Fourth Proportional to 381.23, 526.10 and 206.57

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Solution

The fourth proportional to 381.23, 526.10 and 206.57 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.23 : 526.10 = 206.57 : x
  2. Step 2: Convert to fraction form
    381.23/526.10 = 206.57/x
  3. Step 3: Cross multiply
    381.23x = 526.10 × 206.57
  4. Step 4: Simplify right side
    381.23x = 108,676.76
  5. Step 5: Solve for x
    x = 108,676.76/381.23
  6. Step 6: Final answer
    x = 285.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.