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Finding the Fourth Proportional to 184.80, 254.98 and 110.11

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Solution

The fourth proportional to 184.80, 254.98 and 110.11 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 254.98 = 110.11 : x
  2. Step 2: Convert to fraction form
    184.80/254.98 = 110.11/x
  3. Step 3: Cross multiply
    184.80x = 254.98 × 110.11
  4. Step 4: Simplify right side
    184.80x = 28,075.85
  5. Step 5: Solve for x
    x = 28,075.85/184.80
  6. Step 6: Final answer
    x = 151.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.