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Finding the Fourth Proportional to 214.19, 320.72 and 181.59

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Solution

The fourth proportional to 214.19, 320.72 and 181.59 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 320.72 = 181.59 : x
  2. Step 2: Convert to fraction form
    214.19/320.72 = 181.59/x
  3. Step 3: Cross multiply
    214.19x = 320.72 × 181.59
  4. Step 4: Simplify right side
    214.19x = 58,239.75
  5. Step 5: Solve for x
    x = 58,239.75/214.19
  6. Step 6: Final answer
    x = 271.90

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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.