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Finding the Fourth Proportional to 212.16, 318.14 and 164.10

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Solution

The fourth proportional to 212.16, 318.14 and 164.10 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 318.14 = 164.10 : x
  2. Step 2: Convert to fraction form
    212.16/318.14 = 164.10/x
  3. Step 3: Cross multiply
    212.16x = 318.14 × 164.10
  4. Step 4: Simplify right side
    212.16x = 52,206.77
  5. Step 5: Solve for x
    x = 52,206.77/212.16
  6. Step 6: Final answer
    x = 246.07

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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.