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Finding the Fourth Proportional to 238.52, 357.89 and 123.00

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Solution

The fourth proportional to 238.52, 357.89 and 123.00 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 357.89 = 123.00 : x
  2. Step 2: Convert to fraction form
    238.52/357.89 = 123.00/x
  3. Step 3: Cross multiply
    238.52x = 357.89 × 123.00
  4. Step 4: Simplify right side
    238.52x = 44,018.51
  5. Step 5: Solve for x
    x = 44,018.51/238.52
  6. Step 6: Final answer
    x = 184.55

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