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Finding the Fourth Proportional to 186.17, 280.60 and 176.27

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Solution

The fourth proportional to 186.17, 280.60 and 176.27 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 280.60 = 176.27 : x
  2. Step 2: Convert to fraction form
    186.17/280.60 = 176.27/x
  3. Step 3: Cross multiply
    186.17x = 280.60 × 176.27
  4. Step 4: Simplify right side
    186.17x = 49,461.36
  5. Step 5: Solve for x
    x = 49,461.36/186.17
  6. Step 6: Final answer
    x = 265.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.