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Finding the Fourth Proportional to 204.06, 304.40 and 191.64

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Solution

The fourth proportional to 204.06, 304.40 and 191.64 is: 285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 304.40 = 191.64 : x
  2. Step 2: Convert to fraction form
    204.06/304.40 = 191.64/x
  3. Step 3: Cross multiply
    204.06x = 304.40 × 191.64
  4. Step 4: Simplify right side
    204.06x = 58,334.26
  5. Step 5: Solve for x
    x = 58,334.26/204.06
  6. Step 6: Final answer
    x = 285.87

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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.