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Finding the Fourth Proportional to 203.42, 280.72 and 116.08

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Solution

The fourth proportional to 203.42, 280.72 and 116.08 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 280.72 = 116.08 : x
  2. Step 2: Convert to fraction form
    203.42/280.72 = 116.08/x
  3. Step 3: Cross multiply
    203.42x = 280.72 × 116.08
  4. Step 4: Simplify right side
    203.42x = 32,585.98
  5. Step 5: Solve for x
    x = 32,585.98/203.42
  6. Step 6: Final answer
    x = 160.19

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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.