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Finding the Fourth Proportional to 372.06, 513.47 and 214.74

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Solution

The fourth proportional to 372.06, 513.47 and 214.74 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 513.47 = 214.74 : x
  2. Step 2: Convert to fraction form
    372.06/513.47 = 214.74/x
  3. Step 3: Cross multiply
    372.06x = 513.47 × 214.74
  4. Step 4: Simplify right side
    372.06x = 110,262.55
  5. Step 5: Solve for x
    x = 110,262.55/372.06
  6. Step 6: Final answer
    x = 296.36

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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.