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Finding the Fourth Proportional to 204.16, 304.83 and 175.23

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Solution

The fourth proportional to 204.16, 304.83 and 175.23 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 304.83 = 175.23 : x
  2. Step 2: Convert to fraction form
    204.16/304.83 = 175.23/x
  3. Step 3: Cross multiply
    204.16x = 304.83 × 175.23
  4. Step 4: Simplify right side
    204.16x = 53,415.36
  5. Step 5: Solve for x
    x = 53,415.36/204.16
  6. Step 6: Final answer
    x = 261.63

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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.