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Finding the Fourth Proportional to 184.00, 253.68 and 178.33

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Solution

The fourth proportional to 184.00, 253.68 and 178.33 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.00 : 253.68 = 178.33 : x
  2. Step 2: Convert to fraction form
    184.00/253.68 = 178.33/x
  3. Step 3: Cross multiply
    184.00x = 253.68 × 178.33
  4. Step 4: Simplify right side
    184.00x = 45,237.49
  5. Step 5: Solve for x
    x = 45,237.49/184.00
  6. Step 6: Final answer
    x = 245.86

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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.