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Finding the Fourth Proportional to 245.82, 370.16 and 177.82

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Solution

The fourth proportional to 245.82, 370.16 and 177.82 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 370.16 = 177.82 : x
  2. Step 2: Convert to fraction form
    245.82/370.16 = 177.82/x
  3. Step 3: Cross multiply
    245.82x = 370.16 × 177.82
  4. Step 4: Simplify right side
    245.82x = 65,821.85
  5. Step 5: Solve for x
    x = 65,821.85/245.82
  6. Step 6: Final answer
    x = 267.76

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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.