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Finding the Fourth Proportional to 210.31, 289.60 and 205.76

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Solution

The fourth proportional to 210.31, 289.60 and 205.76 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.31 : 289.60 = 205.76 : x
  2. Step 2: Convert to fraction form
    210.31/289.60 = 205.76/x
  3. Step 3: Cross multiply
    210.31x = 289.60 × 205.76
  4. Step 4: Simplify right side
    210.31x = 59,588.31
  5. Step 5: Solve for x
    x = 59,588.31/210.31
  6. Step 6: Final answer
    x = 283.34

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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.