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Finding the Fourth Proportional to 192.31, 286.64 and 178.46

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Solution

The fourth proportional to 192.31, 286.64 and 178.46 is: 266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 286.64 = 178.46 : x
  2. Step 2: Convert to fraction form
    192.31/286.64 = 178.46/x
  3. Step 3: Cross multiply
    192.31x = 286.64 × 178.46
  4. Step 4: Simplify right side
    192.31x = 51,153.77
  5. Step 5: Solve for x
    x = 51,153.77/192.31
  6. Step 6: Final answer
    x = 266.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.