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Finding the Fourth Proportional to 182.63, 275.34 and 146.99

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Solution

The fourth proportional to 182.63, 275.34 and 146.99 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 275.34 = 146.99 : x
  2. Step 2: Convert to fraction form
    182.63/275.34 = 146.99/x
  3. Step 3: Cross multiply
    182.63x = 275.34 × 146.99
  4. Step 4: Simplify right side
    182.63x = 40,470.85
  5. Step 5: Solve for x
    x = 40,470.85/182.63
  6. Step 6: Final answer
    x = 221.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.