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Finding the Fourth Proportional to 233.36, 321.86 and 184.14

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Solution

The fourth proportional to 233.36, 321.86 and 184.14 is: 253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 321.86 = 184.14 : x
  2. Step 2: Convert to fraction form
    233.36/321.86 = 184.14/x
  3. Step 3: Cross multiply
    233.36x = 321.86 × 184.14
  4. Step 4: Simplify right side
    233.36x = 59,267.30
  5. Step 5: Solve for x
    x = 59,267.30/233.36
  6. Step 6: Final answer
    x = 253.97

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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.