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Finding the Fourth Proportional to 186.64, 257.32 and 134.80

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Solution

The fourth proportional to 186.64, 257.32 and 134.80 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 257.32 = 134.80 : x
  2. Step 2: Convert to fraction form
    186.64/257.32 = 134.80/x
  3. Step 3: Cross multiply
    186.64x = 257.32 × 134.80
  4. Step 4: Simplify right side
    186.64x = 34,686.74
  5. Step 5: Solve for x
    x = 34,686.74/186.64
  6. Step 6: Final answer
    x = 185.85

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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.