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Finding the Fourth Proportional to 378.99, 568.54 and 173.61

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Solution

The fourth proportional to 378.99, 568.54 and 173.61 is: 260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.99 : 568.54 = 173.61 : x
  2. Step 2: Convert to fraction form
    378.99/568.54 = 173.61/x
  3. Step 3: Cross multiply
    378.99x = 568.54 × 173.61
  4. Step 4: Simplify right side
    378.99x = 98,703.80
  5. Step 5: Solve for x
    x = 98,703.80/378.99
  6. Step 6: Final answer
    x = 260.44

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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.