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Finding the Fourth Proportional to 360.45, 540.27 and 187.08

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Solution

The fourth proportional to 360.45, 540.27 and 187.08 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.45 : 540.27 = 187.08 : x
  2. Step 2: Convert to fraction form
    360.45/540.27 = 187.08/x
  3. Step 3: Cross multiply
    360.45x = 540.27 × 187.08
  4. Step 4: Simplify right side
    360.45x = 101,073.71
  5. Step 5: Solve for x
    x = 101,073.71/360.45
  6. Step 6: Final answer
    x = 280.41

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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.