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Finding the Fourth Proportional to 356.96, 492.31 and 216.89

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Solution

The fourth proportional to 356.96, 492.31 and 216.89 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 492.31 = 216.89 : x
  2. Step 2: Convert to fraction form
    356.96/492.31 = 216.89/x
  3. Step 3: Cross multiply
    356.96x = 492.31 × 216.89
  4. Step 4: Simplify right side
    356.96x = 106,776.77
  5. Step 5: Solve for x
    x = 106,776.77/356.96
  6. Step 6: Final answer
    x = 299.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.