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Finding the Fourth Proportional to 184.70, 275.46 and 157.46

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Solution

The fourth proportional to 184.70, 275.46 and 157.46 is: 234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.70 : 275.46 = 157.46 : x
  2. Step 2: Convert to fraction form
    184.70/275.46 = 157.46/x
  3. Step 3: Cross multiply
    184.70x = 275.46 × 157.46
  4. Step 4: Simplify right side
    184.70x = 43,373.93
  5. Step 5: Solve for x
    x = 43,373.93/184.70
  6. Step 6: Final answer
    x = 234.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.