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Finding the Fourth Proportional to 238.95, 357.75 and 162

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Solution

The fourth proportional to 238.95, 357.75 and 162 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.95 : 357.75 = 162 : x
  2. Step 2: Convert to fraction form
    238.95/357.75 = 162/x
  3. Step 3: Cross multiply
    238.95x = 357.75 × 162
  4. Step 4: Simplify right side
    238.95x = 57,955.50
  5. Step 5: Solve for x
    x = 57,955.50/238.95
  6. Step 6: Final answer
    x = 242.54

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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.