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Finding the Fourth Proportional to 204.88, 283.36 and 183.02

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Solution

The fourth proportional to 204.88, 283.36 and 183.02 is: 253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 283.36 = 183.02 : x
  2. Step 2: Convert to fraction form
    204.88/283.36 = 183.02/x
  3. Step 3: Cross multiply
    204.88x = 283.36 × 183.02
  4. Step 4: Simplify right side
    204.88x = 51,860.55
  5. Step 5: Solve for x
    x = 51,860.55/204.88
  6. Step 6: Final answer
    x = 253.13

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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.