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Finding the Fourth Proportional to 214.10, 294.89 and 180.86

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Solution

The fourth proportional to 214.10, 294.89 and 180.86 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 294.89 = 180.86 : x
  2. Step 2: Convert to fraction form
    214.10/294.89 = 180.86/x
  3. Step 3: Cross multiply
    214.10x = 294.89 × 180.86
  4. Step 4: Simplify right side
    214.10x = 53,331.43
  5. Step 5: Solve for x
    x = 53,331.43/214.10
  6. Step 6: Final answer
    x = 249.10

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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.