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Finding the Fourth Proportional to 233.36, 322.03 and 140.16

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Solution

The fourth proportional to 233.36, 322.03 and 140.16 is: 193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 322.03 = 140.16 : x
  2. Step 2: Convert to fraction form
    233.36/322.03 = 140.16/x
  3. Step 3: Cross multiply
    233.36x = 322.03 × 140.16
  4. Step 4: Simplify right side
    233.36x = 45,135.72
  5. Step 5: Solve for x
    x = 45,135.72/233.36
  6. Step 6: Final answer
    x = 193.42

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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.