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Finding the Fourth Proportional to 374.26, 561.16 and 179.25

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Solution

The fourth proportional to 374.26, 561.16 and 179.25 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.26 : 561.16 = 179.25 : x
  2. Step 2: Convert to fraction form
    374.26/561.16 = 179.25/x
  3. Step 3: Cross multiply
    374.26x = 561.16 × 179.25
  4. Step 4: Simplify right side
    374.26x = 100,587.93
  5. Step 5: Solve for x
    x = 100,587.93/374.26
  6. Step 6: Final answer
    x = 268.76

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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.