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Finding the Fourth Proportional to 200.77, 299.99 and 159.77

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Solution

The fourth proportional to 200.77, 299.99 and 159.77 is: 238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 299.99 = 159.77 : x
  2. Step 2: Convert to fraction form
    200.77/299.99 = 159.77/x
  3. Step 3: Cross multiply
    200.77x = 299.99 × 159.77
  4. Step 4: Simplify right side
    200.77x = 47,930.55
  5. Step 5: Solve for x
    x = 47,930.55/200.77
  6. Step 6: Final answer
    x = 238.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.