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Finding the Fourth Proportional to 358.12, 537.28 and 184.88

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Solution

The fourth proportional to 358.12, 537.28 and 184.88 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 537.28 = 184.88 : x
  2. Step 2: Convert to fraction form
    358.12/537.28 = 184.88/x
  3. Step 3: Cross multiply
    358.12x = 537.28 × 184.88
  4. Step 4: Simplify right side
    358.12x = 99,334.25
  5. Step 5: Solve for x
    x = 99,334.25/358.12
  6. Step 6: Final answer
    x = 277.38

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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.