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Finding the Fourth Proportional to 233.70, 322.74 and 192.66

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Solution

The fourth proportional to 233.70, 322.74 and 192.66 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 322.74 = 192.66 : x
  2. Step 2: Convert to fraction form
    233.70/322.74 = 192.66/x
  3. Step 3: Cross multiply
    233.70x = 322.74 × 192.66
  4. Step 4: Simplify right side
    233.70x = 62,179.09
  5. Step 5: Solve for x
    x = 62,179.09/233.70
  6. Step 6: Final answer
    x = 266.06

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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.