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Finding the Fourth Proportional to 186.38, 277.60 and 176.62

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Solution

The fourth proportional to 186.38, 277.60 and 176.62 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 277.60 = 176.62 : x
  2. Step 2: Convert to fraction form
    186.38/277.60 = 176.62/x
  3. Step 3: Cross multiply
    186.38x = 277.60 × 176.62
  4. Step 4: Simplify right side
    186.38x = 49,029.71
  5. Step 5: Solve for x
    x = 49,029.71/186.38
  6. Step 6: Final answer
    x = 263.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.