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Finding the Fourth Proportional to 186.30, 258.26 and 182.93

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Solution

The fourth proportional to 186.30, 258.26 and 182.93 is: 253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 258.26 = 182.93 : x
  2. Step 2: Convert to fraction form
    186.30/258.26 = 182.93/x
  3. Step 3: Cross multiply
    186.30x = 258.26 × 182.93
  4. Step 4: Simplify right side
    186.30x = 47,241.30
  5. Step 5: Solve for x
    x = 47,241.30/186.30
  6. Step 6: Final answer
    x = 253.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.