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Finding the Fourth Proportional to 246.90, 370.44 and 102.59

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Solution

The fourth proportional to 246.90, 370.44 and 102.59 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 370.44 = 102.59 : x
  2. Step 2: Convert to fraction form
    246.90/370.44 = 102.59/x
  3. Step 3: Cross multiply
    246.90x = 370.44 × 102.59
  4. Step 4: Simplify right side
    246.90x = 38,001.59
  5. Step 5: Solve for x
    x = 38,001.59/246.90
  6. Step 6: Final answer
    x = 153.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.