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Finding the Fourth Proportional to 253.23, 380.04 and 123.30

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Solution

The fourth proportional to 253.23, 380.04 and 123.30 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 380.04 = 123.30 : x
  2. Step 2: Convert to fraction form
    253.23/380.04 = 123.30/x
  3. Step 3: Cross multiply
    253.23x = 380.04 × 123.30
  4. Step 4: Simplify right side
    253.23x = 46,858.93
  5. Step 5: Solve for x
    x = 46,858.93/253.23
  6. Step 6: Final answer
    x = 185.04

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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.