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Finding the Fourth Proportional to 186.42, 257.36 and 112.75

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Solution

The fourth proportional to 186.42, 257.36 and 112.75 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.36 = 112.75 : x
  2. Step 2: Convert to fraction form
    186.42/257.36 = 112.75/x
  3. Step 3: Cross multiply
    186.42x = 257.36 × 112.75
  4. Step 4: Simplify right side
    186.42x = 29,017.34
  5. Step 5: Solve for x
    x = 29,017.34/186.42
  6. Step 6: Final answer
    x = 155.66

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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.