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Finding the Fourth Proportional to 301.51, 416.09 and 170.52

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Solution

The fourth proportional to 301.51, 416.09 and 170.52 is: 235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 416.09 = 170.52 : x
  2. Step 2: Convert to fraction form
    301.51/416.09 = 170.52/x
  3. Step 3: Cross multiply
    301.51x = 416.09 × 170.52
  4. Step 4: Simplify right side
    301.51x = 70,950.81
  5. Step 5: Solve for x
    x = 70,950.81/301.51
  6. Step 6: Final answer
    x = 235.32

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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.