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Finding the Fourth Proportional to 245.02, 366.70 and 201.68

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Solution

The fourth proportional to 245.02, 366.70 and 201.68 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.02 : 366.70 = 201.68 : x
  2. Step 2: Convert to fraction form
    245.02/366.70 = 201.68/x
  3. Step 3: Cross multiply
    245.02x = 366.70 × 201.68
  4. Step 4: Simplify right side
    245.02x = 73,956.06
  5. Step 5: Solve for x
    x = 73,956.06/245.02
  6. Step 6: Final answer
    x = 301.84

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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.