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Finding the Fourth Proportional to 246.19, 368.65 and 164.77

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Solution

The fourth proportional to 246.19, 368.65 and 164.77 is: 246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.19 : 368.65 = 164.77 : x
  2. Step 2: Convert to fraction form
    246.19/368.65 = 164.77/x
  3. Step 3: Cross multiply
    246.19x = 368.65 × 164.77
  4. Step 4: Simplify right side
    246.19x = 60,742.46
  5. Step 5: Solve for x
    x = 60,742.46/246.19
  6. Step 6: Final answer
    x = 246.73

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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.