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Finding the Fourth Proportional to 214.29, 295.61 and 126.95

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Solution

The fourth proportional to 214.29, 295.61 and 126.95 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 295.61 = 126.95 : x
  2. Step 2: Convert to fraction form
    214.29/295.61 = 126.95/x
  3. Step 3: Cross multiply
    214.29x = 295.61 × 126.95
  4. Step 4: Simplify right side
    214.29x = 37,525.58
  5. Step 5: Solve for x
    x = 37,525.58/214.29
  6. Step 6: Final answer
    x = 175.12

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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.