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Finding the Fourth Proportional to 186.46, 257.28 and 120.98

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Solution

The fourth proportional to 186.46, 257.28 and 120.98 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 257.28 = 120.98 : x
  2. Step 2: Convert to fraction form
    186.46/257.28 = 120.98/x
  3. Step 3: Cross multiply
    186.46x = 257.28 × 120.98
  4. Step 4: Simplify right side
    186.46x = 31,125.73
  5. Step 5: Solve for x
    x = 31,125.73/186.46
  6. Step 6: Final answer
    x = 166.93

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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.