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Finding the Fourth Proportional to 210.93, 315.78 and 119.46

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Solution

The fourth proportional to 210.93, 315.78 and 119.46 is: 178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 315.78 = 119.46 : x
  2. Step 2: Convert to fraction form
    210.93/315.78 = 119.46/x
  3. Step 3: Cross multiply
    210.93x = 315.78 × 119.46
  4. Step 4: Simplify right side
    210.93x = 37,723.08
  5. Step 5: Solve for x
    x = 37,723.08/210.93
  6. Step 6: Final answer
    x = 178.84

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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.