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Finding the Fourth Proportional to 212.02, 292.61 and 146.61

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Solution

The fourth proportional to 212.02, 292.61 and 146.61 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.61 = 146.61 : x
  2. Step 2: Convert to fraction form
    212.02/292.61 = 146.61/x
  3. Step 3: Cross multiply
    212.02x = 292.61 × 146.61
  4. Step 4: Simplify right side
    212.02x = 42,899.92
  5. Step 5: Solve for x
    x = 42,899.92/212.02
  6. Step 6: Final answer
    x = 202.34

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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.