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Finding the Fourth Proportional to 371.32, 556.97 and 176.42

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Solution

The fourth proportional to 371.32, 556.97 and 176.42 is: 264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.32 : 556.97 = 176.42 : x
  2. Step 2: Convert to fraction form
    371.32/556.97 = 176.42/x
  3. Step 3: Cross multiply
    371.32x = 556.97 × 176.42
  4. Step 4: Simplify right side
    371.32x = 98,256.98
  5. Step 5: Solve for x
    x = 98,256.98/371.32
  6. Step 6: Final answer
    x = 264.61

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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.