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Finding the Fourth Proportional to 202.60, 283.10 and 202.60

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Solution

The fourth proportional to 202.60, 283.10 and 202.60 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 283.10 = 202.60 : x
  2. Step 2: Convert to fraction form
    202.60/283.10 = 202.60/x
  3. Step 3: Cross multiply
    202.60x = 283.10 × 202.60
  4. Step 4: Simplify right side
    202.60x = 57,356.06
  5. Step 5: Solve for x
    x = 57,356.06/202.60
  6. Step 6: Final answer
    x = 283.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.