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Finding the Fourth Proportional to 374.27, 561.43 and 114.25

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Solution

The fourth proportional to 374.27, 561.43 and 114.25 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.27 : 561.43 = 114.25 : x
  2. Step 2: Convert to fraction form
    374.27/561.43 = 114.25/x
  3. Step 3: Cross multiply
    374.27x = 561.43 × 114.25
  4. Step 4: Simplify right side
    374.27x = 64,140.57
  5. Step 5: Solve for x
    x = 64,140.57/374.27
  6. Step 6: Final answer
    x = 171.38

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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.