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Finding the Fourth Proportional to 360.36, 539.98 and 143.84

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Solution

The fourth proportional to 360.36, 539.98 and 143.84 is: 215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.36 : 539.98 = 143.84 : x
  2. Step 2: Convert to fraction form
    360.36/539.98 = 143.84/x
  3. Step 3: Cross multiply
    360.36x = 539.98 × 143.84
  4. Step 4: Simplify right side
    360.36x = 77,670.72
  5. Step 5: Solve for x
    x = 77,670.72/360.36
  6. Step 6: Final answer
    x = 215.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.