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Finding the Fourth Proportional to 285.39, 393.66 and 202.37

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Solution

The fourth proportional to 285.39, 393.66 and 202.37 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.39 : 393.66 = 202.37 : x
  2. Step 2: Convert to fraction form
    285.39/393.66 = 202.37/x
  3. Step 3: Cross multiply
    285.39x = 393.66 × 202.37
  4. Step 4: Simplify right side
    285.39x = 79,663.01
  5. Step 5: Solve for x
    x = 79,663.01/285.39
  6. Step 6: Final answer
    x = 279.14

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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.