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Finding the Fourth Proportional to 217.14, 299.06 and 202.02

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Solution

The fourth proportional to 217.14, 299.06 and 202.02 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.14 : 299.06 = 202.02 : x
  2. Step 2: Convert to fraction form
    217.14/299.06 = 202.02/x
  3. Step 3: Cross multiply
    217.14x = 299.06 × 202.02
  4. Step 4: Simplify right side
    217.14x = 60,416.10
  5. Step 5: Solve for x
    x = 60,416.10/217.14
  6. Step 6: Final answer
    x = 278.24

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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.