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Finding the Fourth Proportional to 378.02, 566.80 and 192.69

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Solution

The fourth proportional to 378.02, 566.80 and 192.69 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 566.80 = 192.69 : x
  2. Step 2: Convert to fraction form
    378.02/566.80 = 192.69/x
  3. Step 3: Cross multiply
    378.02x = 566.80 × 192.69
  4. Step 4: Simplify right side
    378.02x = 109,216.21
  5. Step 5: Solve for x
    x = 109,216.21/378.02
  6. Step 6: Final answer
    x = 288.91

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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.