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Finding the Fourth Proportional to 246.70, 370.05 and 174.70

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Solution

The fourth proportional to 246.70, 370.05 and 174.70 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.70 : 370.05 = 174.70 : x
  2. Step 2: Convert to fraction form
    246.70/370.05 = 174.70/x
  3. Step 3: Cross multiply
    246.70x = 370.05 × 174.70
  4. Step 4: Simplify right side
    246.70x = 64,647.74
  5. Step 5: Solve for x
    x = 64,647.74/246.70
  6. Step 6: Final answer
    x = 262.05

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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.