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Finding the Fourth Proportional to 238.71, 357.72 and 123

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Solution

The fourth proportional to 238.71, 357.72 and 123 is: 184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.71 : 357.72 = 123 : x
  2. Step 2: Convert to fraction form
    238.71/357.72 = 123/x
  3. Step 3: Cross multiply
    238.71x = 357.72 × 123
  4. Step 4: Simplify right side
    238.71x = 43,999.56
  5. Step 5: Solve for x
    x = 43,999.56/238.71
  6. Step 6: Final answer
    x = 184.32

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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.