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Finding the Fourth Proportional to 212.70, 293.64 and 146.35

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Solution

The fourth proportional to 212.70, 293.64 and 146.35 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 293.64 = 146.35 : x
  2. Step 2: Convert to fraction form
    212.70/293.64 = 146.35/x
  3. Step 3: Cross multiply
    212.70x = 293.64 × 146.35
  4. Step 4: Simplify right side
    212.70x = 42,974.03
  5. Step 5: Solve for x
    x = 42,974.03/212.70
  6. Step 6: Final answer
    x = 202.04

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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.