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Finding the Fourth Proportional to 378.04, 566.86 and 117.93

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Solution

The fourth proportional to 378.04, 566.86 and 117.93 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.04 : 566.86 = 117.93 : x
  2. Step 2: Convert to fraction form
    378.04/566.86 = 117.93/x
  3. Step 3: Cross multiply
    378.04x = 566.86 × 117.93
  4. Step 4: Simplify right side
    378.04x = 66,849.80
  5. Step 5: Solve for x
    x = 66,849.80/378.04
  6. Step 6: Final answer
    x = 176.83

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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.