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Finding the Fourth Proportional to 242.01, 362.36 and 201.30

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Solution

The fourth proportional to 242.01, 362.36 and 201.30 is: 301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.01 : 362.36 = 201.30 : x
  2. Step 2: Convert to fraction form
    242.01/362.36 = 201.30/x
  3. Step 3: Cross multiply
    242.01x = 362.36 × 201.30
  4. Step 4: Simplify right side
    242.01x = 72,942.06
  5. Step 5: Solve for x
    x = 72,942.06/242.01
  6. Step 6: Final answer
    x = 301.40

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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.