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Finding the Fourth Proportional to 275.83, 380.24 and 197.01

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Solution

The fourth proportional to 275.83, 380.24 and 197.01 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.83 : 380.24 = 197.01 : x
  2. Step 2: Convert to fraction form
    275.83/380.24 = 197.01/x
  3. Step 3: Cross multiply
    275.83x = 380.24 × 197.01
  4. Step 4: Simplify right side
    275.83x = 74,910.51
  5. Step 5: Solve for x
    x = 74,910.51/275.83
  6. Step 6: Final answer
    x = 271.58

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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.