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Finding the Fourth Proportional to 275.06, 379.47 and 180.50

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Solution

The fourth proportional to 275.06, 379.47 and 180.50 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 379.47 = 180.50 : x
  2. Step 2: Convert to fraction form
    275.06/379.47 = 180.50/x
  3. Step 3: Cross multiply
    275.06x = 379.47 × 180.50
  4. Step 4: Simplify right side
    275.06x = 68,492.10
  5. Step 5: Solve for x
    x = 68,492.10/275.06
  6. Step 6: Final answer
    x = 249.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.