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Finding the Fourth Proportional to 184.92, 278.71 and 176.14

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Solution

The fourth proportional to 184.92, 278.71 and 176.14 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 278.71 = 176.14 : x
  2. Step 2: Convert to fraction form
    184.92/278.71 = 176.14/x
  3. Step 3: Cross multiply
    184.92x = 278.71 × 176.14
  4. Step 4: Simplify right side
    184.92x = 49,091.98
  5. Step 5: Solve for x
    x = 49,091.98/184.92
  6. Step 6: Final answer
    x = 265.48

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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.