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Finding the Fourth Proportional to 246.29, 368.92 and 116.40

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Solution

The fourth proportional to 246.29, 368.92 and 116.40 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.29 : 368.92 = 116.40 : x
  2. Step 2: Convert to fraction form
    246.29/368.92 = 116.40/x
  3. Step 3: Cross multiply
    246.29x = 368.92 × 116.40
  4. Step 4: Simplify right side
    246.29x = 42,939.86
  5. Step 5: Solve for x
    x = 42,939.86/246.29
  6. Step 6: Final answer
    x = 174.35

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Why These Related Problems?

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