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Finding the Fourth Proportional to 186.17, 278.84 and 157.14

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Solution

The fourth proportional to 186.17, 278.84 and 157.14 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 278.84 = 157.14 : x
  2. Step 2: Convert to fraction form
    186.17/278.84 = 157.14/x
  3. Step 3: Cross multiply
    186.17x = 278.84 × 157.14
  4. Step 4: Simplify right side
    186.17x = 43,817.31
  5. Step 5: Solve for x
    x = 43,817.31/186.17
  6. Step 6: Final answer
    x = 235.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.