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Finding the Fourth Proportional to 246.63, 370.05 and 116.70

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Solution

The fourth proportional to 246.63, 370.05 and 116.70 is: 175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.63 : 370.05 = 116.70 : x
  2. Step 2: Convert to fraction form
    246.63/370.05 = 116.70/x
  3. Step 3: Cross multiply
    246.63x = 370.05 × 116.70
  4. Step 4: Simplify right side
    246.63x = 43,184.84
  5. Step 5: Solve for x
    x = 43,184.84/246.63
  6. Step 6: Final answer
    x = 175.10

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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.