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Finding the Fourth Proportional to 378.03, 565.65 and 224.01

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Solution

The fourth proportional to 378.03, 565.65 and 224.01 is: 335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.03 : 565.65 = 224.01 : x
  2. Step 2: Convert to fraction form
    378.03/565.65 = 224.01/x
  3. Step 3: Cross multiply
    378.03x = 565.65 × 224.01
  4. Step 4: Simplify right side
    378.03x = 126,711.26
  5. Step 5: Solve for x
    x = 126,711.26/378.03
  6. Step 6: Final answer
    x = 335.19

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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.