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Finding the Fourth Proportional to 238.32, 328.90 and 140.06

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Solution

The fourth proportional to 238.32, 328.90 and 140.06 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.32 : 328.90 = 140.06 : x
  2. Step 2: Convert to fraction form
    238.32/328.90 = 140.06/x
  3. Step 3: Cross multiply
    238.32x = 328.90 × 140.06
  4. Step 4: Simplify right side
    238.32x = 46,065.73
  5. Step 5: Solve for x
    x = 46,065.73/238.32
  6. Step 6: Final answer
    x = 193.29

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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.