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Finding the Fourth Proportional to 182.16, 271.80 and 180.72

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Solution

The fourth proportional to 182.16, 271.80 and 180.72 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 271.80 = 180.72 : x
  2. Step 2: Convert to fraction form
    182.16/271.80 = 180.72/x
  3. Step 3: Cross multiply
    182.16x = 271.80 × 180.72
  4. Step 4: Simplify right side
    182.16x = 49,119.70
  5. Step 5: Solve for x
    x = 49,119.70/182.16
  6. Step 6: Final answer
    x = 269.65

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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.