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Finding the Fourth Proportional to 210.75, 316.29 and 108.03

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Solution

The fourth proportional to 210.75, 316.29 and 108.03 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 316.29 = 108.03 : x
  2. Step 2: Convert to fraction form
    210.75/316.29 = 108.03/x
  3. Step 3: Cross multiply
    210.75x = 316.29 × 108.03
  4. Step 4: Simplify right side
    210.75x = 34,168.81
  5. Step 5: Solve for x
    x = 34,168.81/210.75
  6. Step 6: Final answer
    x = 162.13

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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.