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Finding the Fourth Proportional to 305.85, 458.70 and 123.19

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Solution

The fourth proportional to 305.85, 458.70 and 123.19 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 458.70 = 123.19 : x
  2. Step 2: Convert to fraction form
    305.85/458.70 = 123.19/x
  3. Step 3: Cross multiply
    305.85x = 458.70 × 123.19
  4. Step 4: Simplify right side
    305.85x = 56,507.25
  5. Step 5: Solve for x
    x = 56,507.25/305.85
  6. Step 6: Final answer
    x = 184.75

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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.