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Finding the Fourth Proportional to 307.14, 423.66 and 202.20

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Solution

The fourth proportional to 307.14, 423.66 and 202.20 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.14 : 423.66 = 202.20 : x
  2. Step 2: Convert to fraction form
    307.14/423.66 = 202.20/x
  3. Step 3: Cross multiply
    307.14x = 423.66 × 202.20
  4. Step 4: Simplify right side
    307.14x = 85,664.05
  5. Step 5: Solve for x
    x = 85,664.05/307.14
  6. Step 6: Final answer
    x = 278.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.