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Finding the Fourth Proportional to 245.77, 339.13 and 135.24

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Solution

The fourth proportional to 245.77, 339.13 and 135.24 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.77 : 339.13 = 135.24 : x
  2. Step 2: Convert to fraction form
    245.77/339.13 = 135.24/x
  3. Step 3: Cross multiply
    245.77x = 339.13 × 135.24
  4. Step 4: Simplify right side
    245.77x = 45,863.94
  5. Step 5: Solve for x
    x = 45,863.94/245.77
  6. Step 6: Final answer
    x = 186.61

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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.