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Finding the Fourth Proportional to 186.92, 254.60 and 186.32

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Solution

The fourth proportional to 186.92, 254.60 and 186.32 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.92 : 254.60 = 186.32 : x
  2. Step 2: Convert to fraction form
    186.92/254.60 = 186.32/x
  3. Step 3: Cross multiply
    186.92x = 254.60 × 186.32
  4. Step 4: Simplify right side
    186.92x = 47,437.07
  5. Step 5: Solve for x
    x = 47,437.07/186.92
  6. Step 6: Final answer
    x = 253.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.