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Finding the Fourth Proportional to 233.69, 322.26 and 192.20

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Solution

The fourth proportional to 233.69, 322.26 and 192.20 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 322.26 = 192.20 : x
  2. Step 2: Convert to fraction form
    233.69/322.26 = 192.20/x
  3. Step 3: Cross multiply
    233.69x = 322.26 × 192.20
  4. Step 4: Simplify right side
    233.69x = 61,938.37
  5. Step 5: Solve for x
    x = 61,938.37/233.69
  6. Step 6: Final answer
    x = 265.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.