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Finding the Fourth Proportional to 358.61, 537.44 and 184.86

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Solution

The fourth proportional to 358.61, 537.44 and 184.86 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.61 : 537.44 = 184.86 : x
  2. Step 2: Convert to fraction form
    358.61/537.44 = 184.86/x
  3. Step 3: Cross multiply
    358.61x = 537.44 × 184.86
  4. Step 4: Simplify right side
    358.61x = 99,350.23
  5. Step 5: Solve for x
    x = 99,350.23/358.61
  6. Step 6: Final answer
    x = 277.05

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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.