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Finding the Fourth Proportional to 378.02, 565.64 and 224.02

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Solution

The fourth proportional to 378.02, 565.64 and 224.02 is: 335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 565.64 = 224.02 : x
  2. Step 2: Convert to fraction form
    378.02/565.64 = 224.02/x
  3. Step 3: Cross multiply
    378.02x = 565.64 × 224.02
  4. Step 4: Simplify right side
    378.02x = 126,714.67
  5. Step 5: Solve for x
    x = 126,714.67/378.02
  6. Step 6: Final answer
    x = 335.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.