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Finding the Fourth Proportional to 233.48, 322.16 and 140.22

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Solution

The fourth proportional to 233.48, 322.16 and 140.22 is: 193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.48 : 322.16 = 140.22 : x
  2. Step 2: Convert to fraction form
    233.48/322.16 = 140.22/x
  3. Step 3: Cross multiply
    233.48x = 322.16 × 140.22
  4. Step 4: Simplify right side
    233.48x = 45,173.28
  5. Step 5: Solve for x
    x = 45,173.28/233.48
  6. Step 6: Final answer
    x = 193.48

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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.