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Finding the Fourth Proportional to 184.05, 253.98 and 110.42

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Solution

The fourth proportional to 184.05, 253.98 and 110.42 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.05 : 253.98 = 110.42 : x
  2. Step 2: Convert to fraction form
    184.05/253.98 = 110.42/x
  3. Step 3: Cross multiply
    184.05x = 253.98 × 110.42
  4. Step 4: Simplify right side
    184.05x = 28,043.20
  5. Step 5: Solve for x
    x = 28,043.20/184.05
  6. Step 6: Final answer
    x = 152.37

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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.