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Finding the Fourth Proportional to 203.53, 280.99 and 156.82

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Solution

The fourth proportional to 203.53, 280.99 and 156.82 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.53 : 280.99 = 156.82 : x
  2. Step 2: Convert to fraction form
    203.53/280.99 = 156.82/x
  3. Step 3: Cross multiply
    203.53x = 280.99 × 156.82
  4. Step 4: Simplify right side
    203.53x = 44,063.45
  5. Step 5: Solve for x
    x = 44,063.45/203.53
  6. Step 6: Final answer
    x = 216.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.