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Finding the Fourth Proportional to 170.88, 235.46 and 152.27

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Solution

The fourth proportional to 170.88, 235.46 and 152.27 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.88 : 235.46 = 152.27 : x
  2. Step 2: Convert to fraction form
    170.88/235.46 = 152.27/x
  3. Step 3: Cross multiply
    170.88x = 235.46 × 152.27
  4. Step 4: Simplify right side
    170.88x = 35,853.29
  5. Step 5: Solve for x
    x = 35,853.29/170.88
  6. Step 6: Final answer
    x = 209.81

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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.