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Finding the Fourth Proportional to 245.84, 339.28 and 180.56

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Solution

The fourth proportional to 245.84, 339.28 and 180.56 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 339.28 = 180.56 : x
  2. Step 2: Convert to fraction form
    245.84/339.28 = 180.56/x
  3. Step 3: Cross multiply
    245.84x = 339.28 × 180.56
  4. Step 4: Simplify right side
    245.84x = 61,260.40
  5. Step 5: Solve for x
    x = 61,260.40/245.84
  6. Step 6: Final answer
    x = 249.19

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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.