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Finding the Fourth Proportional to 358.27, 537.66 and 184.84

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Solution

The fourth proportional to 358.27, 537.66 and 184.84 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.27 : 537.66 = 184.84 : x
  2. Step 2: Convert to fraction form
    358.27/537.66 = 184.84/x
  3. Step 3: Cross multiply
    358.27x = 537.66 × 184.84
  4. Step 4: Simplify right side
    358.27x = 99,381.07
  5. Step 5: Solve for x
    x = 99,381.07/358.27
  6. Step 6: Final answer
    x = 277.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.