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Finding the Fourth Proportional to 356.67, 492.12 and 216.75

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Solution

The fourth proportional to 356.67, 492.12 and 216.75 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.67 : 492.12 = 216.75 : x
  2. Step 2: Convert to fraction form
    356.67/492.12 = 216.75/x
  3. Step 3: Cross multiply
    356.67x = 492.12 × 216.75
  4. Step 4: Simplify right side
    356.67x = 106,667.01
  5. Step 5: Solve for x
    x = 106,667.01/356.67
  6. Step 6: Final answer
    x = 299.06

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Why These Related Problems?

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