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Finding the Fourth Proportional to 214.07, 295.40 and 126.71

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Solution

The fourth proportional to 214.07, 295.40 and 126.71 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.07 : 295.40 = 126.71 : x
  2. Step 2: Convert to fraction form
    214.07/295.40 = 126.71/x
  3. Step 3: Cross multiply
    214.07x = 295.40 × 126.71
  4. Step 4: Simplify right side
    214.07x = 37,429.50
  5. Step 5: Solve for x
    x = 37,429.50/214.07
  6. Step 6: Final answer
    x = 174.85

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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.