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Finding the Fourth Proportional to 182.08, 275.20 and 182.08

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Solution

The fourth proportional to 182.08, 275.20 and 182.08 is: 275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.08 : 275.20 = 182.08 : x
  2. Step 2: Convert to fraction form
    182.08/275.20 = 182.08/x
  3. Step 3: Cross multiply
    182.08x = 275.20 × 182.08
  4. Step 4: Simplify right side
    182.08x = 50,108.42
  5. Step 5: Solve for x
    x = 50,108.42/182.08
  6. Step 6: Final answer
    x = 275.20

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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.