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Finding the Fourth Proportional to 253.83, 350.17 and 180.19

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Solution

The fourth proportional to 253.83, 350.17 and 180.19 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 350.17 = 180.19 : x
  2. Step 2: Convert to fraction form
    253.83/350.17 = 180.19/x
  3. Step 3: Cross multiply
    253.83x = 350.17 × 180.19
  4. Step 4: Simplify right side
    253.83x = 63,097.12
  5. Step 5: Solve for x
    x = 63,097.12/253.83
  6. Step 6: Final answer
    x = 248.58

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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.