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Finding the Fourth Proportional to 186.69, 258.80 and 176.81

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Solution

The fourth proportional to 186.69, 258.80 and 176.81 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 258.80 = 176.81 : x
  2. Step 2: Convert to fraction form
    186.69/258.80 = 176.81/x
  3. Step 3: Cross multiply
    186.69x = 258.80 × 176.81
  4. Step 4: Simplify right side
    186.69x = 45,758.47
  5. Step 5: Solve for x
    x = 45,758.47/186.69
  6. Step 6: Final answer
    x = 245.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.