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Finding the Fourth Proportional to 371.51, 512.64 and 214.10

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Solution

The fourth proportional to 371.51, 512.64 and 214.10 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 512.64 = 214.10 : x
  2. Step 2: Convert to fraction form
    371.51/512.64 = 214.10/x
  3. Step 3: Cross multiply
    371.51x = 512.64 × 214.10
  4. Step 4: Simplify right side
    371.51x = 109,756.22
  5. Step 5: Solve for x
    x = 109,756.22/371.51
  6. Step 6: Final answer
    x = 295.43

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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.