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Finding the Fourth Proportional to 214.69, 296.25 and 127.35

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Solution

The fourth proportional to 214.69, 296.25 and 127.35 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 296.25 = 127.35 : x
  2. Step 2: Convert to fraction form
    214.69/296.25 = 127.35/x
  3. Step 3: Cross multiply
    214.69x = 296.25 × 127.35
  4. Step 4: Simplify right side
    214.69x = 37,725.96
  5. Step 5: Solve for x
    x = 37,725.96/214.69
  6. Step 6: Final answer
    x = 175.72

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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.