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Finding the Fourth Proportional to 360.65, 541.08 and 155.23

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Solution

The fourth proportional to 360.65, 541.08 and 155.23 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.65 : 541.08 = 155.23 : x
  2. Step 2: Convert to fraction form
    360.65/541.08 = 155.23/x
  3. Step 3: Cross multiply
    360.65x = 541.08 × 155.23
  4. Step 4: Simplify right side
    360.65x = 83,993.54
  5. Step 5: Solve for x
    x = 83,993.54/360.65
  6. Step 6: Final answer
    x = 232.89

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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.