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Finding the Fourth Proportional to 187.46, 280.74 and 161.95

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Solution

The fourth proportional to 187.46, 280.74 and 161.95 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.46 : 280.74 = 161.95 : x
  2. Step 2: Convert to fraction form
    187.46/280.74 = 161.95/x
  3. Step 3: Cross multiply
    187.46x = 280.74 × 161.95
  4. Step 4: Simplify right side
    187.46x = 45,463.63
  5. Step 5: Solve for x
    x = 45,463.63/187.46
  6. Step 6: Final answer
    x = 242.52

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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.