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Finding the Fourth Proportional to 214.12, 320.66 and 180.10

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Solution

The fourth proportional to 214.12, 320.66 and 180.10 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 320.66 = 180.10 : x
  2. Step 2: Convert to fraction form
    214.12/320.66 = 180.10/x
  3. Step 3: Cross multiply
    214.12x = 320.66 × 180.10
  4. Step 4: Simplify right side
    214.12x = 57,750.87
  5. Step 5: Solve for x
    x = 57,750.87/214.12
  6. Step 6: Final answer
    x = 269.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.