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Finding the Fourth Proportional to 182.01, 271.49 and 152.79

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Solution

The fourth proportional to 182.01, 271.49 and 152.79 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.01 : 271.49 = 152.79 : x
  2. Step 2: Convert to fraction form
    182.01/271.49 = 152.79/x
  3. Step 3: Cross multiply
    182.01x = 271.49 × 152.79
  4. Step 4: Simplify right side
    182.01x = 41,479.18
  5. Step 5: Solve for x
    x = 41,479.18/182.01
  6. Step 6: Final answer
    x = 227.89

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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.