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Finding the Fourth Proportional to 184.95, 277.92 and 98.35

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Solution

The fourth proportional to 184.95, 277.92 and 98.35 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 277.92 = 98.35 : x
  2. Step 2: Convert to fraction form
    184.95/277.92 = 98.35/x
  3. Step 3: Cross multiply
    184.95x = 277.92 × 98.35
  4. Step 4: Simplify right side
    184.95x = 27,332.74
  5. Step 5: Solve for x
    x = 27,332.74/184.95
  6. Step 6: Final answer
    x = 147.78

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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.