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Finding the Fourth Proportional to 246.13, 369.33 and 101.81

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Solution

The fourth proportional to 246.13, 369.33 and 101.81 is: 152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.13 : 369.33 = 101.81 : x
  2. Step 2: Convert to fraction form
    246.13/369.33 = 101.81/x
  3. Step 3: Cross multiply
    246.13x = 369.33 × 101.81
  4. Step 4: Simplify right side
    246.13x = 37,602.03
  5. Step 5: Solve for x
    x = 37,602.03/246.13
  6. Step 6: Final answer
    x = 152.77

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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.