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Finding the Fourth Proportional to 305.74, 458.16 and 123.04

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Solution

The fourth proportional to 305.74, 458.16 and 123.04 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 458.16 = 123.04 : x
  2. Step 2: Convert to fraction form
    305.74/458.16 = 123.04/x
  3. Step 3: Cross multiply
    305.74x = 458.16 × 123.04
  4. Step 4: Simplify right side
    305.74x = 56,369.54
  5. Step 5: Solve for x
    x = 56,369.54/305.74
  6. Step 6: Final answer
    x = 184.37

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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.