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Finding the Fourth Proportional to 238.39, 357.65 and 76.07

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Solution

The fourth proportional to 238.39, 357.65 and 76.07 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.39 : 357.65 = 76.07 : x
  2. Step 2: Convert to fraction form
    238.39/357.65 = 76.07/x
  3. Step 3: Cross multiply
    238.39x = 357.65 × 76.07
  4. Step 4: Simplify right side
    238.39x = 27,206.44
  5. Step 5: Solve for x
    x = 27,206.44/238.39
  6. Step 6: Final answer
    x = 114.13

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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.