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Finding the Fourth Proportional to 214.38, 295.83 and 130.37

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Solution

The fourth proportional to 214.38, 295.83 and 130.37 is: 179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 295.83 = 130.37 : x
  2. Step 2: Convert to fraction form
    214.38/295.83 = 130.37/x
  3. Step 3: Cross multiply
    214.38x = 295.83 × 130.37
  4. Step 4: Simplify right side
    214.38x = 38,565.88
  5. Step 5: Solve for x
    x = 38,565.88/214.38
  6. Step 6: Final answer
    x = 179.89

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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.