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Finding the Fourth Proportional to 253.68, 350.14 and 180.02

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Solution

The fourth proportional to 253.68, 350.14 and 180.02 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 350.14 = 180.02 : x
  2. Step 2: Convert to fraction form
    253.68/350.14 = 180.02/x
  3. Step 3: Cross multiply
    253.68x = 350.14 × 180.02
  4. Step 4: Simplify right side
    253.68x = 63,032.20
  5. Step 5: Solve for x
    x = 63,032.20/253.68
  6. Step 6: Final answer
    x = 248.47

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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.