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Finding the Fourth Proportional to 204.07, 305.88 and 183.46

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Solution

The fourth proportional to 204.07, 305.88 and 183.46 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.07 : 305.88 = 183.46 : x
  2. Step 2: Convert to fraction form
    204.07/305.88 = 183.46/x
  3. Step 3: Cross multiply
    204.07x = 305.88 × 183.46
  4. Step 4: Simplify right side
    204.07x = 56,114.30
  5. Step 5: Solve for x
    x = 56,114.30/204.07
  6. Step 6: Final answer
    x = 274.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.