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Finding the Fourth Proportional to 210.54, 289.98 and 203.52

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Solution

The fourth proportional to 210.54, 289.98 and 203.52 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 289.98 = 203.52 : x
  2. Step 2: Convert to fraction form
    210.54/289.98 = 203.52/x
  3. Step 3: Cross multiply
    210.54x = 289.98 × 203.52
  4. Step 4: Simplify right side
    210.54x = 59,016.73
  5. Step 5: Solve for x
    x = 59,016.73/210.54
  6. Step 6: Final answer
    x = 280.31

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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.