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Finding the Fourth Proportional to 186.84, 257.76 and 109.08

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Solution

The fourth proportional to 186.84, 257.76 and 109.08 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.76 = 109.08 : x
  2. Step 2: Convert to fraction form
    186.84/257.76 = 109.08/x
  3. Step 3: Cross multiply
    186.84x = 257.76 × 109.08
  4. Step 4: Simplify right side
    186.84x = 28,116.46
  5. Step 5: Solve for x
    x = 28,116.46/186.84
  6. Step 6: Final answer
    x = 150.48

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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.