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Finding the Fourth Proportional to 210.09, 289.53 and 200.64

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Solution

The fourth proportional to 210.09, 289.53 and 200.64 is: 276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 289.53 = 200.64 : x
  2. Step 2: Convert to fraction form
    210.09/289.53 = 200.64/x
  3. Step 3: Cross multiply
    210.09x = 289.53 × 200.64
  4. Step 4: Simplify right side
    210.09x = 58,091.30
  5. Step 5: Solve for x
    x = 58,091.30/210.09
  6. Step 6: Final answer
    x = 276.51

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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.