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Finding the Fourth Proportional to 212.80, 293.31 and 147.16

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Solution

The fourth proportional to 212.80, 293.31 and 147.16 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 293.31 = 147.16 : x
  2. Step 2: Convert to fraction form
    212.80/293.31 = 147.16/x
  3. Step 3: Cross multiply
    212.80x = 293.31 × 147.16
  4. Step 4: Simplify right side
    212.80x = 43,163.50
  5. Step 5: Solve for x
    x = 43,163.50/212.80
  6. Step 6: Final answer
    x = 202.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.