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Finding the Fourth Proportional to 214.34, 295.79 and 126.99

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Solution

The fourth proportional to 214.34, 295.79 and 126.99 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 295.79 = 126.99 : x
  2. Step 2: Convert to fraction form
    214.34/295.79 = 126.99/x
  3. Step 3: Cross multiply
    214.34x = 295.79 × 126.99
  4. Step 4: Simplify right side
    214.34x = 37,561.74
  5. Step 5: Solve for x
    x = 37,561.74/214.34
  6. Step 6: Final answer
    x = 175.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.