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Finding the Fourth Proportional to 186.06, 256.51 and 182.18

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Solution

The fourth proportional to 186.06, 256.51 and 182.18 is: 251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 256.51 = 182.18 : x
  2. Step 2: Convert to fraction form
    186.06/256.51 = 182.18/x
  3. Step 3: Cross multiply
    186.06x = 256.51 × 182.18
  4. Step 4: Simplify right side
    186.06x = 46,731.86
  5. Step 5: Solve for x
    x = 46,731.86/186.06
  6. Step 6: Final answer
    x = 251.16

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Why These Related Problems?

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