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Finding the Fourth Proportional to 328.16, 492.94 and 206.51

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Solution

The fourth proportional to 328.16, 492.94 and 206.51 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 492.94 = 206.51 : x
  2. Step 2: Convert to fraction form
    328.16/492.94 = 206.51/x
  3. Step 3: Cross multiply
    328.16x = 492.94 × 206.51
  4. Step 4: Simplify right side
    328.16x = 101,794.57
  5. Step 5: Solve for x
    x = 101,794.57/328.16
  6. Step 6: Final answer
    x = 310.20

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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.