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Finding the Fourth Proportional to 210.50, 316.05 and 165.34

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Solution

The fourth proportional to 210.50, 316.05 and 165.34 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 316.05 = 165.34 : x
  2. Step 2: Convert to fraction form
    210.50/316.05 = 165.34/x
  3. Step 3: Cross multiply
    210.50x = 316.05 × 165.34
  4. Step 4: Simplify right side
    210.50x = 52,255.71
  5. Step 5: Solve for x
    x = 52,255.71/210.50
  6. Step 6: Final answer
    x = 248.25

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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.