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Finding the Fourth Proportional to 268.16, 369.68 and 202.32

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Solution

The fourth proportional to 268.16, 369.68 and 202.32 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 369.68 = 202.32 : x
  2. Step 2: Convert to fraction form
    268.16/369.68 = 202.32/x
  3. Step 3: Cross multiply
    268.16x = 369.68 × 202.32
  4. Step 4: Simplify right side
    268.16x = 74,793.66
  5. Step 5: Solve for x
    x = 74,793.66/268.16
  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.