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Finding the Fourth Proportional to 378.12, 566.93 and 118.04

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Solution

The fourth proportional to 378.12, 566.93 and 118.04 is: 176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 566.93 = 118.04 : x
  2. Step 2: Convert to fraction form
    378.12/566.93 = 118.04/x
  3. Step 3: Cross multiply
    378.12x = 566.93 × 118.04
  4. Step 4: Simplify right side
    378.12x = 66,916.99
  5. Step 5: Solve for x
    x = 66,916.99/378.12
  6. Step 6: Final answer
    x = 176.97

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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.