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Finding the Fourth Proportional to 204.54, 304.64 and 193.50

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Solution

The fourth proportional to 204.54, 304.64 and 193.50 is: 288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.54 : 304.64 = 193.50 : x
  2. Step 2: Convert to fraction form
    204.54/304.64 = 193.50/x
  3. Step 3: Cross multiply
    204.54x = 304.64 × 193.50
  4. Step 4: Simplify right side
    204.54x = 58,946.87
  5. Step 5: Solve for x
    x = 58,946.87/204.54
  6. Step 6: Final answer
    x = 288.19

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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.