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Finding the Fourth Proportional to 246.93, 370.58 and 165.93

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Solution

The fourth proportional to 246.93, 370.58 and 165.93 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.93 : 370.58 = 165.93 : x
  2. Step 2: Convert to fraction form
    246.93/370.58 = 165.93/x
  3. Step 3: Cross multiply
    246.93x = 370.58 × 165.93
  4. Step 4: Simplify right side
    246.93x = 61,489.51
  5. Step 5: Solve for x
    x = 61,489.51/246.93
  6. Step 6: Final answer
    x = 249.02

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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.