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Finding the Fourth Proportional to 374.57, 561.85 and 114.57

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Solution

The fourth proportional to 374.57, 561.85 and 114.57 is: 171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.57 : 561.85 = 114.57 : x
  2. Step 2: Convert to fraction form
    374.57/561.85 = 114.57/x
  3. Step 3: Cross multiply
    374.57x = 561.85 × 114.57
  4. Step 4: Simplify right side
    374.57x = 64,371.44
  5. Step 5: Solve for x
    x = 64,371.44/374.57
  6. Step 6: Final answer
    x = 171.85

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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.