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Finding the Fourth Proportional to 253.51, 379.42 and 192.31

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Solution

The fourth proportional to 253.51, 379.42 and 192.31 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.51 : 379.42 = 192.31 : x
  2. Step 2: Convert to fraction form
    253.51/379.42 = 192.31/x
  3. Step 3: Cross multiply
    253.51x = 379.42 × 192.31
  4. Step 4: Simplify right side
    253.51x = 72,964.83
  5. Step 5: Solve for x
    x = 72,964.83/253.51
  6. Step 6: Final answer
    x = 287.82

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