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Finding the Fourth Proportional to 200.65, 276.63 and 159.34

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Solution

The fourth proportional to 200.65, 276.63 and 159.34 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.65 : 276.63 = 159.34 : x
  2. Step 2: Convert to fraction form
    200.65/276.63 = 159.34/x
  3. Step 3: Cross multiply
    200.65x = 276.63 × 159.34
  4. Step 4: Simplify right side
    200.65x = 44,076.94
  5. Step 5: Solve for x
    x = 44,076.94/200.65
  6. Step 6: Final answer
    x = 219.67

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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.