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Finding the Fourth Proportional to 186.51, 257.37 and 111.82

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Solution

The fourth proportional to 186.51, 257.37 and 111.82 is: 154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.51 : 257.37 = 111.82 : x
  2. Step 2: Convert to fraction form
    186.51/257.37 = 111.82/x
  3. Step 3: Cross multiply
    186.51x = 257.37 × 111.82
  4. Step 4: Simplify right side
    186.51x = 28,779.11
  5. Step 5: Solve for x
    x = 28,779.11/186.51
  6. Step 6: Final answer
    x = 154.30

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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.