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Finding the Fourth Proportional to 192.00, 287.68 and 184.79

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Solution

The fourth proportional to 192.00, 287.68 and 184.79 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.00 : 287.68 = 184.79 : x
  2. Step 2: Convert to fraction form
    192.00/287.68 = 184.79/x
  3. Step 3: Cross multiply
    192.00x = 287.68 × 184.79
  4. Step 4: Simplify right side
    192.00x = 53,159.46
  5. Step 5: Solve for x
    x = 53,159.46/192.00
  6. Step 6: Final answer
    x = 276.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.