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Finding the Fourth Proportional to 233.19, 321.84 and 140.00

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Solution

The fourth proportional to 233.19, 321.84 and 140.00 is: 193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.19 : 321.84 = 140.00 : x
  2. Step 2: Convert to fraction form
    233.19/321.84 = 140.00/x
  3. Step 3: Cross multiply
    233.19x = 321.84 × 140.00
  4. Step 4: Simplify right side
    233.19x = 45,055.99
  5. Step 5: Solve for x
    x = 45,055.99/233.19
  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.