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Finding the Fourth Proportional to 203.34, 280.62 and 116.01

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Solution

The fourth proportional to 203.34, 280.62 and 116.01 is: 160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 280.62 = 116.01 : x
  2. Step 2: Convert to fraction form
    203.34/280.62 = 116.01/x
  3. Step 3: Cross multiply
    203.34x = 280.62 × 116.01
  4. Step 4: Simplify right side
    203.34x = 32,554.73
  5. Step 5: Solve for x
    x = 32,554.73/203.34
  6. Step 6: Final answer
    x = 160.10

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Why These Related Problems?

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