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Finding the Fourth Proportional to 200.73, 276.64 and 156.99

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Solution

The fourth proportional to 200.73, 276.64 and 156.99 is: 216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 276.64 = 156.99 : x
  2. Step 2: Convert to fraction form
    200.73/276.64 = 156.99/x
  3. Step 3: Cross multiply
    200.73x = 276.64 × 156.99
  4. Step 4: Simplify right side
    200.73x = 43,429.71
  5. Step 5: Solve for x
    x = 43,429.71/200.73
  6. Step 6: Final answer
    x = 216.36

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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.