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Finding the Fourth Proportional to 200.71, 276.95 and 116.67

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Solution

The fourth proportional to 200.71, 276.95 and 116.67 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.71 : 276.95 = 116.67 : x
  2. Step 2: Convert to fraction form
    200.71/276.95 = 116.67/x
  3. Step 3: Cross multiply
    200.71x = 276.95 × 116.67
  4. Step 4: Simplify right side
    200.71x = 32,313.09
  5. Step 5: Solve for x
    x = 32,313.09/200.71
  6. Step 6: Final answer
    x = 160.99

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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.