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Finding the Fourth Proportional to 378.65, 568.00 and 118.64

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Solution

The fourth proportional to 378.65, 568.00 and 118.64 is: 177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 568.00 = 118.64 : x
  2. Step 2: Convert to fraction form
    378.65/568.00 = 118.64/x
  3. Step 3: Cross multiply
    378.65x = 568.00 × 118.64
  4. Step 4: Simplify right side
    378.65x = 67,389.09
  5. Step 5: Solve for x
    x = 67,389.09/378.65
  6. Step 6: Final answer
    x = 177.97

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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.