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Finding the Fourth Proportional to 210.29, 313.79 and 166.46

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Solution

The fourth proportional to 210.29, 313.79 and 166.46 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.29 : 313.79 = 166.46 : x
  2. Step 2: Convert to fraction form
    210.29/313.79 = 166.46/x
  3. Step 3: Cross multiply
    210.29x = 313.79 × 166.46
  4. Step 4: Simplify right side
    210.29x = 52,231.08
  5. Step 5: Solve for x
    x = 52,231.08/210.29
  6. Step 6: Final answer
    x = 248.38

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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.