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Finding the Fourth Proportional to 204.10, 304.54 and 183.66

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Solution

The fourth proportional to 204.10, 304.54 and 183.66 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.10 : 304.54 = 183.66 : x
  2. Step 2: Convert to fraction form
    204.10/304.54 = 183.66/x
  3. Step 3: Cross multiply
    204.10x = 304.54 × 183.66
  4. Step 4: Simplify right side
    204.10x = 55,931.82
  5. Step 5: Solve for x
    x = 55,931.82/204.10
  6. Step 6: Final answer
    x = 274.04

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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.