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Finding the Fourth Proportional to 263.04, 362.80 and 180.16

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Solution

The fourth proportional to 263.04, 362.80 and 180.16 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.04 : 362.80 = 180.16 : x
  2. Step 2: Convert to fraction form
    263.04/362.80 = 180.16/x
  3. Step 3: Cross multiply
    263.04x = 362.80 × 180.16
  4. Step 4: Simplify right side
    263.04x = 65,362.05
  5. Step 5: Solve for x
    x = 65,362.05/263.04
  6. Step 6: Final answer
    x = 248.49

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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.