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Finding the Fourth Proportional to 166.93, 248.62 and 158.25

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Solution

The fourth proportional to 166.93, 248.62 and 158.25 is: 235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 248.62 = 158.25 : x
  2. Step 2: Convert to fraction form
    166.93/248.62 = 158.25/x
  3. Step 3: Cross multiply
    166.93x = 248.62 × 158.25
  4. Step 4: Simplify right side
    166.93x = 39,344.12
  5. Step 5: Solve for x
    x = 39,344.12/166.93
  6. Step 6: Final answer
    x = 235.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.