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Finding the Fourth Proportional to 268.64, 401.33 and 175.34

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Solution

The fourth proportional to 268.64, 401.33 and 175.34 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 401.33 = 175.34 : x
  2. Step 2: Convert to fraction form
    268.64/401.33 = 175.34/x
  3. Step 3: Cross multiply
    268.64x = 401.33 × 175.34
  4. Step 4: Simplify right side
    268.64x = 70,366.32
  5. Step 5: Solve for x
    x = 70,366.32/268.64
  6. Step 6: Final answer
    x = 261.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.