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Finding the Fourth Proportional to 360.96, 541.42 and 155.40

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Solution

The fourth proportional to 360.96, 541.42 and 155.40 is: 233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 541.42 = 155.40 : x
  2. Step 2: Convert to fraction form
    360.96/541.42 = 155.40/x
  3. Step 3: Cross multiply
    360.96x = 541.42 × 155.40
  4. Step 4: Simplify right side
    360.96x = 84,136.67
  5. Step 5: Solve for x
    x = 84,136.67/360.96
  6. Step 6: Final answer
    x = 233.09

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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.