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Finding the Fourth Proportional to 316.89, 437.37 and 192.54

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Solution

The fourth proportional to 316.89, 437.37 and 192.54 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.89 : 437.37 = 192.54 : x
  2. Step 2: Convert to fraction form
    316.89/437.37 = 192.54/x
  3. Step 3: Cross multiply
    316.89x = 437.37 × 192.54
  4. Step 4: Simplify right side
    316.89x = 84,211.22
  5. Step 5: Solve for x
    x = 84,211.22/316.89
  6. Step 6: Final answer
    x = 265.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.