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Finding the Fourth Proportional to 381.64, 526.65 and 206.98

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Solution

The fourth proportional to 381.64, 526.65 and 206.98 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 526.65 = 206.98 : x
  2. Step 2: Convert to fraction form
    381.64/526.65 = 206.98/x
  3. Step 3: Cross multiply
    381.64x = 526.65 × 206.98
  4. Step 4: Simplify right side
    381.64x = 109,004.70
  5. Step 5: Solve for x
    x = 109,004.70/381.64
  6. Step 6: Final answer
    x = 285.62

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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.