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Finding the Fourth Proportional to 306.18, 458.54 and 184.17

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Solution

The fourth proportional to 306.18, 458.54 and 184.17 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 458.54 = 184.17 : x
  2. Step 2: Convert to fraction form
    306.18/458.54 = 184.17/x
  3. Step 3: Cross multiply
    306.18x = 458.54 × 184.17
  4. Step 4: Simplify right side
    306.18x = 84,448.39
  5. Step 5: Solve for x
    x = 84,448.39/306.18
  6. Step 6: Final answer
    x = 275.81

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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.