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Finding the Fourth Proportional to 263.05, 362.75 and 180.02

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Solution

The fourth proportional to 263.05, 362.75 and 180.02 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.05 : 362.75 = 180.02 : x
  2. Step 2: Convert to fraction form
    263.05/362.75 = 180.02/x
  3. Step 3: Cross multiply
    263.05x = 362.75 × 180.02
  4. Step 4: Simplify right side
    263.05x = 65,302.26
  5. Step 5: Solve for x
    x = 65,302.26/263.05
  6. Step 6: Final answer
    x = 248.25

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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.