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Finding the Fourth Proportional to 214.72, 296.32 and 126.25

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Solution

The fourth proportional to 214.72, 296.32 and 126.25 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.32 = 126.25 : x
  2. Step 2: Convert to fraction form
    214.72/296.32 = 126.25/x
  3. Step 3: Cross multiply
    214.72x = 296.32 × 126.25
  4. Step 4: Simplify right side
    214.72x = 37,410.40
  5. Step 5: Solve for x
    x = 37,410.40/214.72
  6. Step 6: Final answer
    x = 174.23

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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.