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Finding the Fourth Proportional to 238.90, 329.07 and 202.03

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Solution

The fourth proportional to 238.90, 329.07 and 202.03 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.90 : 329.07 = 202.03 : x
  2. Step 2: Convert to fraction form
    238.90/329.07 = 202.03/x
  3. Step 3: Cross multiply
    238.90x = 329.07 × 202.03
  4. Step 4: Simplify right side
    238.90x = 66,482.01
  5. Step 5: Solve for x
    x = 66,482.01/238.90
  6. Step 6: Final answer
    x = 278.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.