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Finding the Fourth Proportional to 212.10, 318.16 and 130.93

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Solution

The fourth proportional to 212.10, 318.16 and 130.93 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 318.16 = 130.93 : x
  2. Step 2: Convert to fraction form
    212.10/318.16 = 130.93/x
  3. Step 3: Cross multiply
    212.10x = 318.16 × 130.93
  4. Step 4: Simplify right side
    212.10x = 41,657.85
  5. Step 5: Solve for x
    x = 41,657.85/212.10
  6. Step 6: Final answer
    x = 196.40

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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.