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Finding the Fourth Proportional to 246.35, 340.01 and 148.11

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Solution

The fourth proportional to 246.35, 340.01 and 148.11 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.35 : 340.01 = 148.11 : x
  2. Step 2: Convert to fraction form
    246.35/340.01 = 148.11/x
  3. Step 3: Cross multiply
    246.35x = 340.01 × 148.11
  4. Step 4: Simplify right side
    246.35x = 50,358.14
  5. Step 5: Solve for x
    x = 50,358.14/246.35
  6. Step 6: Final answer
    x = 204.42

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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.