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Finding the Fourth Proportional to 238.69, 357.73 and 101.60

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Solution

The fourth proportional to 238.69, 357.73 and 101.60 is: 152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 357.73 = 101.60 : x
  2. Step 2: Convert to fraction form
    238.69/357.73 = 101.60/x
  3. Step 3: Cross multiply
    238.69x = 357.73 × 101.60
  4. Step 4: Simplify right side
    238.69x = 36,345.37
  5. Step 5: Solve for x
    x = 36,345.37/238.69
  6. Step 6: Final answer
    x = 152.27

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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.