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Finding the Fourth Proportional to 301.68, 416.36 and 170.74

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Solution

The fourth proportional to 301.68, 416.36 and 170.74 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 416.36 = 170.74 : x
  2. Step 2: Convert to fraction form
    301.68/416.36 = 170.74/x
  3. Step 3: Cross multiply
    301.68x = 416.36 × 170.74
  4. Step 4: Simplify right side
    301.68x = 71,089.31
  5. Step 5: Solve for x
    x = 71,089.31/301.68
  6. Step 6: Final answer
    x = 235.64

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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.