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Finding the Fourth Proportional to 360.43, 540.64 and 154.82

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Solution

The fourth proportional to 360.43, 540.64 and 154.82 is: 232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.43 : 540.64 = 154.82 : x
  2. Step 2: Convert to fraction form
    360.43/540.64 = 154.82/x
  3. Step 3: Cross multiply
    360.43x = 540.64 × 154.82
  4. Step 4: Simplify right side
    360.43x = 83,701.88
  5. Step 5: Solve for x
    x = 83,701.88/360.43
  6. Step 6: Final answer
    x = 232.23

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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.