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Finding the Fourth Proportional to 305.74, 458.84 and 123.15

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Solution

The fourth proportional to 305.74, 458.84 and 123.15 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 458.84 = 123.15 : x
  2. Step 2: Convert to fraction form
    305.74/458.84 = 123.15/x
  3. Step 3: Cross multiply
    305.74x = 458.84 × 123.15
  4. Step 4: Simplify right side
    305.74x = 56,506.15
  5. Step 5: Solve for x
    x = 56,506.15/305.74
  6. Step 6: Final answer
    x = 184.82

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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.