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Finding the Fourth Proportional to 210.45, 289.58 and 189.75

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Solution

The fourth proportional to 210.45, 289.58 and 189.75 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.45 : 289.58 = 189.75 : x
  2. Step 2: Convert to fraction form
    210.45/289.58 = 189.75/x
  3. Step 3: Cross multiply
    210.45x = 289.58 × 189.75
  4. Step 4: Simplify right side
    210.45x = 54,946.86
  5. Step 5: Solve for x
    x = 54,946.86/210.45
  6. Step 6: Final answer
    x = 261.09

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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.