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Finding the Fourth Proportional to 186.36, 256.80 and 176.77

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Solution

The fourth proportional to 186.36, 256.80 and 176.77 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 256.80 = 176.77 : x
  2. Step 2: Convert to fraction form
    186.36/256.80 = 176.77/x
  3. Step 3: Cross multiply
    186.36x = 256.80 × 176.77
  4. Step 4: Simplify right side
    186.36x = 45,394.54
  5. Step 5: Solve for x
    x = 45,394.54/186.36
  6. Step 6: Final answer
    x = 243.59

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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.