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Finding the Fourth Proportional to 301.74, 416.35 and 170.72

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Solution

The fourth proportional to 301.74, 416.35 and 170.72 is: 235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 416.35 = 170.72 : x
  2. Step 2: Convert to fraction form
    301.74/416.35 = 170.72/x
  3. Step 3: Cross multiply
    301.74x = 416.35 × 170.72
  4. Step 4: Simplify right side
    301.74x = 71,079.27
  5. Step 5: Solve for x
    x = 71,079.27/301.74
  6. Step 6: Final answer
    x = 235.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.