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Finding the Fourth Proportional to 245.69, 339.04 and 180.47

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Solution

The fourth proportional to 245.69, 339.04 and 180.47 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 339.04 = 180.47 : x
  2. Step 2: Convert to fraction form
    245.69/339.04 = 180.47/x
  3. Step 3: Cross multiply
    245.69x = 339.04 × 180.47
  4. Step 4: Simplify right side
    245.69x = 61,186.55
  5. Step 5: Solve for x
    x = 61,186.55/245.69
  6. Step 6: Final answer
    x = 249.04

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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.