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Finding the Fourth Proportional to 238.12, 357.06 and 183.88

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Solution

The fourth proportional to 238.12, 357.06 and 183.88 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 357.06 = 183.88 : x
  2. Step 2: Convert to fraction form
    238.12/357.06 = 183.88/x
  3. Step 3: Cross multiply
    238.12x = 357.06 × 183.88
  4. Step 4: Simplify right side
    238.12x = 65,656.19
  5. Step 5: Solve for x
    x = 65,656.19/238.12
  6. Step 6: Final answer
    x = 275.73

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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.