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Finding the Fourth Proportional to 203.33, 280.58 and 116.00

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Solution

The fourth proportional to 203.33, 280.58 and 116.00 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.33 : 280.58 = 116.00 : x
  2. Step 2: Convert to fraction form
    203.33/280.58 = 116.00/x
  3. Step 3: Cross multiply
    203.33x = 280.58 × 116.00
  4. Step 4: Simplify right side
    203.33x = 32,545.30
  5. Step 5: Solve for x
    x = 32,545.30/203.33
  6. Step 6: Final answer
    x = 160.07

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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.