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Finding the Fourth Proportional to 238.35, 357.50 and 76.02

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Solution

The fourth proportional to 238.35, 357.50 and 76.02 is: 114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.35 : 357.50 = 76.02 : x
  2. Step 2: Convert to fraction form
    238.35/357.50 = 76.02/x
  3. Step 3: Cross multiply
    238.35x = 357.50 × 76.02
  4. Step 4: Simplify right side
    238.35x = 27,175.57
  5. Step 5: Solve for x
    x = 27,175.57/238.35
  6. Step 6: Final answer
    x = 114.01

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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.