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Finding the Fourth Proportional to 360.02, 539.50 and 177.54

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Solution

The fourth proportional to 360.02, 539.50 and 177.54 is: 266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 539.50 = 177.54 : x
  2. Step 2: Convert to fraction form
    360.02/539.50 = 177.54/x
  3. Step 3: Cross multiply
    360.02x = 539.50 × 177.54
  4. Step 4: Simplify right side
    360.02x = 95,782.83
  5. Step 5: Solve for x
    x = 95,782.83/360.02
  6. Step 6: Final answer
    x = 266.05

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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.