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Finding the Fourth Proportional to 186.24, 280.78 and 176.32

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Solution

The fourth proportional to 186.24, 280.78 and 176.32 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 280.78 = 176.32 : x
  2. Step 2: Convert to fraction form
    186.24/280.78 = 176.32/x
  3. Step 3: Cross multiply
    186.24x = 280.78 × 176.32
  4. Step 4: Simplify right side
    186.24x = 49,507.13
  5. Step 5: Solve for x
    x = 49,507.13/186.24
  6. Step 6: Final answer
    x = 265.82

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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.