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Finding the Fourth Proportional to 204.46, 307.24 and 123.32

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Solution

The fourth proportional to 204.46, 307.24 and 123.32 is: 185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 307.24 = 123.32 : x
  2. Step 2: Convert to fraction form
    204.46/307.24 = 123.32/x
  3. Step 3: Cross multiply
    204.46x = 307.24 × 123.32
  4. Step 4: Simplify right side
    204.46x = 37,888.84
  5. Step 5: Solve for x
    x = 37,888.84/204.46
  6. Step 6: Final answer
    x = 185.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.