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Finding the Fourth Proportional to 381.85, 526.95 and 207.19

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Solution

The fourth proportional to 381.85, 526.95 and 207.19 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.85 : 526.95 = 207.19 : x
  2. Step 2: Convert to fraction form
    381.85/526.95 = 207.19/x
  3. Step 3: Cross multiply
    381.85x = 526.95 × 207.19
  4. Step 4: Simplify right side
    381.85x = 109,179.43
  5. Step 5: Solve for x
    x = 109,179.43/381.85
  6. Step 6: Final answer
    x = 285.92

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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.