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Finding the Fourth Proportional to 233.49, 321.51 and 184.21

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Solution

The fourth proportional to 233.49, 321.51 and 184.21 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 321.51 = 184.21 : x
  2. Step 2: Convert to fraction form
    233.49/321.51 = 184.21/x
  3. Step 3: Cross multiply
    233.49x = 321.51 × 184.21
  4. Step 4: Simplify right side
    233.49x = 59,225.36
  5. Step 5: Solve for x
    x = 59,225.36/233.49
  6. Step 6: Final answer
    x = 253.66

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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.