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Finding the Fourth Proportional to 184.68, 277.16 and 146.03

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Solution

The fourth proportional to 184.68, 277.16 and 146.03 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 277.16 = 146.03 : x
  2. Step 2: Convert to fraction form
    184.68/277.16 = 146.03/x
  3. Step 3: Cross multiply
    184.68x = 277.16 × 146.03
  4. Step 4: Simplify right side
    184.68x = 40,471.56
  5. Step 5: Solve for x
    x = 40,471.56/184.68
  6. Step 6: Final answer
    x = 219.14

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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.