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Finding the Fourth Proportional to 204.23, 304.93 and 183.76

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Solution

The fourth proportional to 204.23, 304.93 and 183.76 is: 274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.23 : 304.93 = 183.76 : x
  2. Step 2: Convert to fraction form
    204.23/304.93 = 183.76/x
  3. Step 3: Cross multiply
    204.23x = 304.93 × 183.76
  4. Step 4: Simplify right side
    204.23x = 56,032.41
  5. Step 5: Solve for x
    x = 56,032.41/204.23
  6. Step 6: Final answer
    x = 274.36

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Why These Related Problems?

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