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Finding the Fourth Proportional to 186.59, 257.52 and 107.89

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Solution

The fourth proportional to 186.59, 257.52 and 107.89 is: 148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 257.52 = 107.89 : x
  2. Step 2: Convert to fraction form
    186.59/257.52 = 107.89/x
  3. Step 3: Cross multiply
    186.59x = 257.52 × 107.89
  4. Step 4: Simplify right side
    186.59x = 27,783.51
  5. Step 5: Solve for x
    x = 27,783.51/186.59
  6. Step 6: Final answer
    x = 148.90

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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.