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Finding the Fourth Proportional to 371.32, 512.45 and 214.00

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Solution

The fourth proportional to 371.32, 512.45 and 214.00 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.32 : 512.45 = 214.00 : x
  2. Step 2: Convert to fraction form
    371.32/512.45 = 214.00/x
  3. Step 3: Cross multiply
    371.32x = 512.45 × 214.00
  4. Step 4: Simplify right side
    371.32x = 109,663.02
  5. Step 5: Solve for x
    x = 109,663.02/371.32
  6. Step 6: Final answer
    x = 295.33

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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.