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Finding the Fourth Proportional to 184.28, 277.75 and 176.04

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Solution

The fourth proportional to 184.28, 277.75 and 176.04 is: 265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.28 : 277.75 = 176.04 : x
  2. Step 2: Convert to fraction form
    184.28/277.75 = 176.04/x
  3. Step 3: Cross multiply
    184.28x = 277.75 × 176.04
  4. Step 4: Simplify right side
    184.28x = 48,894.34
  5. Step 5: Solve for x
    x = 48,894.34/184.28
  6. Step 6: Final answer
    x = 265.33

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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.