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Finding the Fourth Proportional to 374.09, 561.12 and 142.97

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Solution

The fourth proportional to 374.09, 561.12 and 142.97 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 561.12 = 142.97 : x
  2. Step 2: Convert to fraction form
    374.09/561.12 = 142.97/x
  3. Step 3: Cross multiply
    374.09x = 561.12 × 142.97
  4. Step 4: Simplify right side
    374.09x = 80,222.80
  5. Step 5: Solve for x
    x = 80,222.80/374.09
  6. Step 6: Final answer
    x = 214.45

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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.