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Finding the Fourth Proportional to 238.53, 357.99 and 123.06

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Solution

The fourth proportional to 238.53, 357.99 and 123.06 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 357.99 = 123.06 : x
  2. Step 2: Convert to fraction form
    238.53/357.99 = 123.06/x
  3. Step 3: Cross multiply
    238.53x = 357.99 × 123.06
  4. Step 4: Simplify right side
    238.53x = 44,054.25
  5. Step 5: Solve for x
    x = 44,054.25/238.53
  6. Step 6: Final answer
    x = 184.69

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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.