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Finding the Fourth Proportional to 378.02, 521.64 and 212.23

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Solution

The fourth proportional to 378.02, 521.64 and 212.23 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 521.64 = 212.23 : x
  2. Step 2: Convert to fraction form
    378.02/521.64 = 212.23/x
  3. Step 3: Cross multiply
    378.02x = 521.64 × 212.23
  4. Step 4: Simplify right side
    378.02x = 110,707.66
  5. Step 5: Solve for x
    x = 110,707.66/378.02
  6. Step 6: Final answer
    x = 292.86

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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.