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Finding the Fourth Proportional to 360.87, 540.86 and 155.00

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Solution

The fourth proportional to 360.87, 540.86 and 155.00 is: 232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 540.86 = 155.00 : x
  2. Step 2: Convert to fraction form
    360.87/540.86 = 155.00/x
  3. Step 3: Cross multiply
    360.87x = 540.86 × 155.00
  4. Step 4: Simplify right side
    360.87x = 83,835.04
  5. Step 5: Solve for x
    x = 83,835.04/360.87
  6. Step 6: Final answer
    x = 232.31

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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.