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Finding the Fourth Proportional to 381.83, 526.93 and 207.17

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Solution

The fourth proportional to 381.83, 526.93 and 207.17 is: 285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.83 : 526.93 = 207.17 : x
  2. Step 2: Convert to fraction form
    381.83/526.93 = 207.17/x
  3. Step 3: Cross multiply
    381.83x = 526.93 × 207.17
  4. Step 4: Simplify right side
    381.83x = 109,163.05
  5. Step 5: Solve for x
    x = 109,163.05/381.83
  6. Step 6: Final answer
    x = 285.89

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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.