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Finding the Fourth Proportional to 328.60, 492.30 and 200.20

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Solution

The fourth proportional to 328.60, 492.30 and 200.20 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.60 : 492.30 = 200.20 : x
  2. Step 2: Convert to fraction form
    328.60/492.30 = 200.20/x
  3. Step 3: Cross multiply
    328.60x = 492.30 × 200.20
  4. Step 4: Simplify right side
    328.60x = 98,558.46
  5. Step 5: Solve for x
    x = 98,558.46/328.60
  6. Step 6: Final answer
    x = 299.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.