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Finding the Fourth Proportional to 186.74, 257.02 and 181.65

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Solution

The fourth proportional to 186.74, 257.02 and 181.65 is: 250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 257.02 = 181.65 : x
  2. Step 2: Convert to fraction form
    186.74/257.02 = 181.65/x
  3. Step 3: Cross multiply
    186.74x = 257.02 × 181.65
  4. Step 4: Simplify right side
    186.74x = 46,686.77
  5. Step 5: Solve for x
    x = 46,686.77/186.74
  6. Step 6: Final answer
    x = 250.01

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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.