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Finding the Fourth Proportional to 245.63, 338.50 and 180.16

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Solution

The fourth proportional to 245.63, 338.50 and 180.16 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 338.50 = 180.16 : x
  2. Step 2: Convert to fraction form
    245.63/338.50 = 180.16/x
  3. Step 3: Cross multiply
    245.63x = 338.50 × 180.16
  4. Step 4: Simplify right side
    245.63x = 60,984.16
  5. Step 5: Solve for x
    x = 60,984.16/245.63
  6. Step 6: Final answer
    x = 248.28

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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.