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Finding the Fourth Proportional to 200.54, 276.15 and 186.02

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Solution

The fourth proportional to 200.54, 276.15 and 186.02 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 276.15 = 186.02 : x
  2. Step 2: Convert to fraction form
    200.54/276.15 = 186.02/x
  3. Step 3: Cross multiply
    200.54x = 276.15 × 186.02
  4. Step 4: Simplify right side
    200.54x = 51,369.42
  5. Step 5: Solve for x
    x = 51,369.42/200.54
  6. Step 6: Final answer
    x = 256.16

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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.