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Finding the Fourth Proportional to 344.03, 474.55 and 204.06

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Solution

The fourth proportional to 344.03, 474.55 and 204.06 is: 281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.03 : 474.55 = 204.06 : x
  2. Step 2: Convert to fraction form
    344.03/474.55 = 204.06/x
  3. Step 3: Cross multiply
    344.03x = 474.55 × 204.06
  4. Step 4: Simplify right side
    344.03x = 96,835.72
  5. Step 5: Solve for x
    x = 96,835.72/344.03
  6. Step 6: Final answer
    x = 281.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.