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Finding the Fourth Proportional to 186.86, 258.54 and 157.70

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Solution

The fourth proportional to 186.86, 258.54 and 157.70 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 258.54 = 157.70 : x
  2. Step 2: Convert to fraction form
    186.86/258.54 = 157.70/x
  3. Step 3: Cross multiply
    186.86x = 258.54 × 157.70
  4. Step 4: Simplify right side
    186.86x = 40,771.76
  5. Step 5: Solve for x
    x = 40,771.76/186.86
  6. Step 6: Final answer
    x = 218.19

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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.