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Finding the Fourth Proportional to 184.80, 277.35 and 102.54

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Solution

The fourth proportional to 184.80, 277.35 and 102.54 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 277.35 = 102.54 : x
  2. Step 2: Convert to fraction form
    184.80/277.35 = 102.54/x
  3. Step 3: Cross multiply
    184.80x = 277.35 × 102.54
  4. Step 4: Simplify right side
    184.80x = 28,439.47
  5. Step 5: Solve for x
    x = 28,439.47/184.80
  6. Step 6: Final answer
    x = 153.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.