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Finding the Fourth Proportional to 210.34, 315.78 and 164.84

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Solution

The fourth proportional to 210.34, 315.78 and 164.84 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 315.78 = 164.84 : x
  2. Step 2: Convert to fraction form
    210.34/315.78 = 164.84/x
  3. Step 3: Cross multiply
    210.34x = 315.78 × 164.84
  4. Step 4: Simplify right side
    210.34x = 52,053.96
  5. Step 5: Solve for x
    x = 52,053.96/210.34
  6. Step 6: Final answer
    x = 247.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.