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Finding the Fourth Proportional to 212.70, 316.86 and 202.14

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Solution

The fourth proportional to 212.70, 316.86 and 202.14 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 316.86 = 202.14 : x
  2. Step 2: Convert to fraction form
    212.70/316.86 = 202.14/x
  3. Step 3: Cross multiply
    212.70x = 316.86 × 202.14
  4. Step 4: Simplify right side
    212.70x = 64,050.08
  5. Step 5: Solve for x
    x = 64,050.08/212.70
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.