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Finding the Fourth Proportional to 238.23, 328.80 and 140.00

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Solution

The fourth proportional to 238.23, 328.80 and 140.00 is: 193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 328.80 = 140.00 : x
  2. Step 2: Convert to fraction form
    238.23/328.80 = 140.00/x
  3. Step 3: Cross multiply
    238.23x = 328.80 × 140.00
  4. Step 4: Simplify right side
    238.23x = 46,030.36
  5. Step 5: Solve for x
    x = 46,030.36/238.23
  6. Step 6: Final answer
    x = 193.22

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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.