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Finding the Fourth Proportional to 186.27, 258.29 and 182.93

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Solution

The fourth proportional to 186.27, 258.29 and 182.93 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.27 : 258.29 = 182.93 : x
  2. Step 2: Convert to fraction form
    186.27/258.29 = 182.93/x
  3. Step 3: Cross multiply
    186.27x = 258.29 × 182.93
  4. Step 4: Simplify right side
    186.27x = 47,247.47
  5. Step 5: Solve for x
    x = 47,247.47/186.27
  6. Step 6: Final answer
    x = 253.66

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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.