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Finding the Fourth Proportional to 180.50, 248.63 and 145.46

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Solution

The fourth proportional to 180.50, 248.63 and 145.46 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 248.63 = 145.46 : x
  2. Step 2: Convert to fraction form
    180.50/248.63 = 145.46/x
  3. Step 3: Cross multiply
    180.50x = 248.63 × 145.46
  4. Step 4: Simplify right side
    180.50x = 36,165.61
  5. Step 5: Solve for x
    x = 36,165.61/180.50
  6. Step 6: Final answer
    x = 200.37

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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.