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Finding the Fourth Proportional to 186.63, 257.75 and 128.58

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Solution

The fourth proportional to 186.63, 257.75 and 128.58 is: 177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 257.75 = 128.58 : x
  2. Step 2: Convert to fraction form
    186.63/257.75 = 128.58/x
  3. Step 3: Cross multiply
    186.63x = 257.75 × 128.58
  4. Step 4: Simplify right side
    186.63x = 33,139.56
  5. Step 5: Solve for x
    x = 33,139.56/186.63
  6. Step 6: Final answer
    x = 177.57

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