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Finding the Fourth Proportional to 362.03, 541.76 and 225.14

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Solution

The fourth proportional to 362.03, 541.76 and 225.14 is: 336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.03 : 541.76 = 225.14 : x
  2. Step 2: Convert to fraction form
    362.03/541.76 = 225.14/x
  3. Step 3: Cross multiply
    362.03x = 541.76 × 225.14
  4. Step 4: Simplify right side
    362.03x = 121,968.01
  5. Step 5: Solve for x
    x = 121,968.01/362.03
  6. Step 6: Final answer
    x = 336.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.