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Finding the Fourth Proportional to 330.02, 494.73 and 201.50

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Solution

The fourth proportional to 330.02, 494.73 and 201.50 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.02 : 494.73 = 201.50 : x
  2. Step 2: Convert to fraction form
    330.02/494.73 = 201.50/x
  3. Step 3: Cross multiply
    330.02x = 494.73 × 201.50
  4. Step 4: Simplify right side
    330.02x = 99,688.10
  5. Step 5: Solve for x
    x = 99,688.10/330.02
  6. Step 6: Final answer
    x = 302.07

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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.