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Finding the Fourth Proportional to 212.02, 318.10 and 109.35

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Solution

The fourth proportional to 212.02, 318.10 and 109.35 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 318.10 = 109.35 : x
  2. Step 2: Convert to fraction form
    212.02/318.10 = 109.35/x
  3. Step 3: Cross multiply
    212.02x = 318.10 × 109.35
  4. Step 4: Simplify right side
    212.02x = 34,784.24
  5. Step 5: Solve for x
    x = 34,784.24/212.02
  6. Step 6: Final answer
    x = 164.06

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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.