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Finding the Fourth Proportional to 268.06, 370.02 and 202.45

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Solution

The fourth proportional to 268.06, 370.02 and 202.45 is: 279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 370.02 = 202.45 : x
  2. Step 2: Convert to fraction form
    268.06/370.02 = 202.45/x
  3. Step 3: Cross multiply
    268.06x = 370.02 × 202.45
  4. Step 4: Simplify right side
    268.06x = 74,910.55
  5. Step 5: Solve for x
    x = 74,910.55/268.06
  6. Step 6: Final answer
    x = 279.45

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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.