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Finding the Fourth Proportional to 305.84, 458.81 and 123.13

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Solution

The fourth proportional to 305.84, 458.81 and 123.13 is: 184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 458.81 = 123.13 : x
  2. Step 2: Convert to fraction form
    305.84/458.81 = 123.13/x
  3. Step 3: Cross multiply
    305.84x = 458.81 × 123.13
  4. Step 4: Simplify right side
    305.84x = 56,495.03
  5. Step 5: Solve for x
    x = 56,495.03/305.84
  6. Step 6: Final answer
    x = 184.72

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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.