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Finding the Fourth Proportional to 378.72, 569.16 and 186.48

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Solution

The fourth proportional to 378.72, 569.16 and 186.48 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 569.16 = 186.48 : x
  2. Step 2: Convert to fraction form
    378.72/569.16 = 186.48/x
  3. Step 3: Cross multiply
    378.72x = 569.16 × 186.48
  4. Step 4: Simplify right side
    378.72x = 106,136.96
  5. Step 5: Solve for x
    x = 106,136.96/378.72
  6. Step 6: Final answer
    x = 280.25

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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.