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Finding the Fourth Proportional to 186.16, 257.04 and 127.96

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Solution

The fourth proportional to 186.16, 257.04 and 127.96 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 257.04 = 127.96 : x
  2. Step 2: Convert to fraction form
    186.16/257.04 = 127.96/x
  3. Step 3: Cross multiply
    186.16x = 257.04 × 127.96
  4. Step 4: Simplify right side
    186.16x = 32,890.84
  5. Step 5: Solve for x
    x = 32,890.84/186.16
  6. Step 6: Final answer
    x = 176.68

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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.