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Finding the Fourth Proportional to 210.14, 289.82 and 132.46

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Solution

The fourth proportional to 210.14, 289.82 and 132.46 is: 182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.14 : 289.82 = 132.46 : x
  2. Step 2: Convert to fraction form
    210.14/289.82 = 132.46/x
  3. Step 3: Cross multiply
    210.14x = 289.82 × 132.46
  4. Step 4: Simplify right side
    210.14x = 38,389.56
  5. Step 5: Solve for x
    x = 38,389.56/210.14
  6. Step 6: Final answer
    x = 182.69

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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.