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Finding the Fourth Proportional to 212.06, 292.35 and 146.45

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Solution

The fourth proportional to 212.06, 292.35 and 146.45 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 292.35 = 146.45 : x
  2. Step 2: Convert to fraction form
    212.06/292.35 = 146.45/x
  3. Step 3: Cross multiply
    212.06x = 292.35 × 146.45
  4. Step 4: Simplify right side
    212.06x = 42,814.66
  5. Step 5: Solve for x
    x = 42,814.66/212.06
  6. Step 6: Final answer
    x = 201.90

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