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Finding the Fourth Proportional to 214.52, 296 and 127.24

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Solution

The fourth proportional to 214.52, 296 and 127.24 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 296 = 127.24 : x
  2. Step 2: Convert to fraction form
    214.52/296 = 127.24/x
  3. Step 3: Cross multiply
    214.52x = 296 × 127.24
  4. Step 4: Simplify right side
    214.52x = 37,663.04
  5. Step 5: Solve for x
    x = 37,663.04/214.52
  6. Step 6: Final answer
    x = 175.57

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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.