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Finding the Fourth Proportional to 212.06, 292.52 and 146.56

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Solution

The fourth proportional to 212.06, 292.52 and 146.56 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 292.52 = 146.56 : x
  2. Step 2: Convert to fraction form
    212.06/292.52 = 146.56/x
  3. Step 3: Cross multiply
    212.06x = 292.52 × 146.56
  4. Step 4: Simplify right side
    212.06x = 42,871.73
  5. Step 5: Solve for x
    x = 42,871.73/212.06
  6. Step 6: Final answer
    x = 202.17

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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.