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Finding the Fourth Proportional to 210.63, 315.64 and 164.75

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Solution

The fourth proportional to 210.63, 315.64 and 164.75 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.63 : 315.64 = 164.75 : x
  2. Step 2: Convert to fraction form
    210.63/315.64 = 164.75/x
  3. Step 3: Cross multiply
    210.63x = 315.64 × 164.75
  4. Step 4: Simplify right side
    210.63x = 52,001.69
  5. Step 5: Solve for x
    x = 52,001.69/210.63
  6. Step 6: Final answer
    x = 246.89

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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.