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Finding the Fourth Proportional to 245.29, 338.51 and 134.77

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Solution

The fourth proportional to 245.29, 338.51 and 134.77 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.29 : 338.51 = 134.77 : x
  2. Step 2: Convert to fraction form
    245.29/338.51 = 134.77/x
  3. Step 3: Cross multiply
    245.29x = 338.51 × 134.77
  4. Step 4: Simplify right side
    245.29x = 45,620.99
  5. Step 5: Solve for x
    x = 45,620.99/245.29
  6. Step 6: Final answer
    x = 185.99

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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.