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Finding the Fourth Proportional to 186.70, 257.65 and 108.02

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Solution

The fourth proportional to 186.70, 257.65 and 108.02 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.70 : 257.65 = 108.02 : x
  2. Step 2: Convert to fraction form
    186.70/257.65 = 108.02/x
  3. Step 3: Cross multiply
    186.70x = 257.65 × 108.02
  4. Step 4: Simplify right side
    186.70x = 27,830.81
  5. Step 5: Solve for x
    x = 27,830.81/186.70
  6. Step 6: Final answer
    x = 149.07

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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.