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Finding the Fourth Proportional to 186.84, 257.72 and 113.12

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Solution

The fourth proportional to 186.84, 257.72 and 113.12 is: 156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.72 = 113.12 : x
  2. Step 2: Convert to fraction form
    186.84/257.72 = 113.12/x
  3. Step 3: Cross multiply
    186.84x = 257.72 × 113.12
  4. Step 4: Simplify right side
    186.84x = 29,153.29
  5. Step 5: Solve for x
    x = 29,153.29/186.84
  6. Step 6: Final answer
    x = 156.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.