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Finding the Fourth Proportional to 246.45, 340.03 and 146.83

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Solution

The fourth proportional to 246.45, 340.03 and 146.83 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.45 : 340.03 = 146.83 : x
  2. Step 2: Convert to fraction form
    246.45/340.03 = 146.83/x
  3. Step 3: Cross multiply
    246.45x = 340.03 × 146.83
  4. Step 4: Simplify right side
    246.45x = 49,926.60
  5. Step 5: Solve for x
    x = 49,926.60/246.45
  6. Step 6: Final answer
    x = 202.58

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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.