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Finding the Fourth Proportional to 212.70, 293.42 and 160.16

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Solution

The fourth proportional to 212.70, 293.42 and 160.16 is: 220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 293.42 = 160.16 : x
  2. Step 2: Convert to fraction form
    212.70/293.42 = 160.16/x
  3. Step 3: Cross multiply
    212.70x = 293.42 × 160.16
  4. Step 4: Simplify right side
    212.70x = 46,994.15
  5. Step 5: Solve for x
    x = 46,994.15/212.70
  6. Step 6: Final answer
    x = 220.94

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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.